Evolutionary identification of hidden chaotic attractors
In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms are capable of chaotic system control, identification or synthesis and vice versa, chaos can be observed in the e...
Saved in:
| Published in: | Engineering applications of artificial intelligence Vol. 50; pp. 159 - 167 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Ltd
01.04.2016
|
| Subjects: | |
| ISSN: | 0952-1976, 1873-6769 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms are capable of chaotic system control, identification or synthesis and vice versa, chaos can be observed in the evolutionary dynamics. More exactly, in this paper there is numerically demonstrated possible solution of the question whether identification of so-called basin of attraction for hidden attractor can be done by evolutionary algorithms. Hidden attractors are a special kind of attractors, that are hidden in the system structure and if ignored (undiscovered), then can cause serious damages, as already observed in the real world. The research presented here is bivalent. At first it shows, that evolutionary algorithms are able to identify presence of hidden attractors in the system, but also it can be extended to study an existence of hidden attractors in the evolutionary algorithms dynamics. All numerical simulations are demonstrated on Chua׳s chaotic attractor that contains an example of hidden attractor and at the end there are discussed discrete systems (synthesized by evolution) that likely exhibit hidden attractors, too. |
|---|---|
| AbstractList | In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms are capable of chaotic system control, identification or synthesis and vice versa, chaos can be observed in the evolutionary dynamics. More exactly, in this paper there is numerically demonstrated possible solution of the question whether identification of so-called basin of attraction for hidden attractor can be done by evolutionary algorithms. Hidden attractors are a special kind of attractors, that are hidden in the system structure and if ignored (undiscovered), then can cause serious damages, as already observed in the real world. The research presented here is bivalent. At first it shows, that evolutionary algorithms are able to identify presence of hidden attractors in the system, but also it can be extended to study an existence of hidden attractors in the evolutionary algorithms dynamics. All numerical simulations are demonstrated on Chua׳s chaotic attractor that contains an example of hidden attractor and at the end there are discussed discrete systems (synthesized by evolution) that likely exhibit hidden attractors, too. In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research papers, evolutionary algorithms are capable of chaotic system control, identification or synthesis and vice versa, chaos can be observed in the evolutionary dynamics. More exactly, in this paper there is numerically demonstrated possible solution of the question whether identification of so-called basin of attraction for hidden attractor can be done by evolutionary algorithms. Hidden attractors are a special kind of attractors, that are hidden in the system structure and if ignored (undiscovered), then can cause serious damages, as already observed in the real world. The research presented here is bivalent. At first it shows, that evolutionary algorithms are able to identify presence of hidden attractors in the system, but also it can be extended to study an existence of hidden attractors in the evolutionary algorithms dynamics. All numerical simulations are demonstrated on Chua's chaotic attractor that contains an example of hidden attractor and at the end there are discussed discrete systems (synthesized by evolution) that likely exhibit hidden attractors, too. |
| Author | Zelinka, Ivan |
| Author_xml | – sequence: 1 givenname: Ivan surname: Zelinka fullname: Zelinka, Ivan email: ivan.zelinka@vsb.cz organization: "Modeling evolutionary algorithms simulation and artificial intelligence" Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam |
| BookMark | eNqFkEtLAzEUhYNUsK3-BZmlmxmTTPMCF0qpDyi40XXIZO7YlOlkTNKC_94Zqxs3XV043O_A-WZo0vkOELomuCCY8NttAd2H6XvjCooJKwgtMKZnaEqkKHMuuJqgKVaM5kQJfoFmMW4xxqVc8CmSq4Nv98n5zoSvzNXQJdc4a8Yk8022cfWQZXZjfHI2MykFY5MP8RKdN6aNcPV75-j9cfW2fM7Xr08vy4d1bssFSzkTpOKqko0igiklqMAVBmZ5DZIyLKkCWtYUoKJlWRrWUIwbK5mtKmEtp-Uc3Rx7--A_9xCT3rlooW1NB34fNZFYEiqUHF_58dUGH2OARvfB7YZdmmA9qtJb_adKj6o0oXpQNYB3_0Dr0o-CYa1rT-P3RxwGDwcHQUfroLNQuwA26dq7UxXfE--LvQ |
| CitedBy_id | crossref_primary_10_1016_j_ifacol_2017_08_470 crossref_primary_10_1016_j_jocs_2017_08_010 crossref_primary_10_1016_j_ifacol_2017_08_514 crossref_primary_10_1016_j_cnsns_2017_03_010 crossref_primary_10_51537_chaos_1381891 crossref_primary_10_1016_j_physrep_2016_05_002 crossref_primary_10_1007_s11071_018_4054_z crossref_primary_10_1080_17445760_2017_1334776 crossref_primary_10_1080_17445760_2017_1401622 crossref_primary_10_1080_23335777_2021_1921038 crossref_primary_10_1007_s11071_022_08078_y |
| Cites_doi | 10.1142/S0218127413300024 10.1142/S0218127415500613 10.1142/S0218127413501885 10.1142/S0218127414500734 10.1016/0375-9601(95)00654-L 10.1007/978-3-642-31353-0_11 10.1016/j.physd.2012.05.016 10.1016/0375-9601(92)90745-8 10.1016/j.chaos.2007.09.063 10.1142/S0218127415500753 10.1016/j.cnsns.2015.04.007 10.1142/S021812740802077X 10.5772/16166 10.1007/978-3-642-30504-7 10.1007/s11071-015-1983-7 10.1007/s11071-014-1290-8 10.1007/978-3-0348-5927-1 10.1016/j.physleta.2015.06.039 10.1016/j.chaos.2011.12.006 10.1007/s11071-014-1292-6 10.1103/PhysRevLett.64.1196 10.1007/3-540-45712-7_30 10.1134/S106423071104006X 10.1016/S0167-2789(00)00080-4 10.1016/j.asoc.2007.10.016 10.1142/S021812741550056X 10.25088/ComplexSystems.20.2.127 10.1140/epjst/e2015-02472-1 10.3182/20140824-6-ZA-1003.02501 10.1134/S0012266112130022 10.1002/3527607455.ch2 10.1109/ICNN.1995.488968 10.3182/20100826-3-TR-4016.00009 10.1016/j.camwa.2013.01.016 10.1016/j.chaos.2013.08.018 10.1109/RADIOELEK.2007.371423 10.1049/el.2014.4341 10.1016/j.mcm.2011.06.034 10.7148/2010-0277-0282 10.1109/AMS.2010.26 10.1007/BF00940812 10.1016/j.physleta.2011.04.037 |
| ContentType | Journal Article |
| Copyright | 2015 Elsevier Ltd |
| Copyright_xml | – notice: 2015 Elsevier Ltd |
| DBID | AAYXX CITATION 7SC 7TB 8FD F28 FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.engappai.2015.12.002 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database ANTE: Abstracts in New Technology & Engineering Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Computer Science |
| EISSN | 1873-6769 |
| EndPage | 167 |
| ExternalDocumentID | 10_1016_j_engappai_2015_12_002 S0952197615002742 |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 29G 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN ABBOA ABMAC ABXDB ABYKQ ACDAQ ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADJOM ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HLZ HVGLF HZ~ IHE J1W JJJVA KOM LG9 LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SDF SDG SDP SES SET SEW SPC SPCBC SST SSV SSZ T5K TN5 UHS WUQ ZMT ~G- 9DU AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD 7SC 7TB 8FD F28 FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c345t-571b69b8f9175997270b0e5c6de8250829e23d2eeb2333a5f200fc85cbb7cc623 |
| ISICitedReferencesCount | 16 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000373410000014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0952-1976 |
| IngestDate | Thu Oct 02 11:03:53 EDT 2025 Sat Nov 29 02:17:55 EST 2025 Tue Nov 18 22:36:42 EST 2025 Fri Feb 23 02:28:56 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Hidden attractors Control Identification Evolutionary algorithms Deterministic chaos |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c345t-571b69b8f9175997270b0e5c6de8250829e23d2eeb2333a5f200fc85cbb7cc623 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1808127982 |
| PQPubID | 23500 |
| PageCount | 9 |
| ParticipantIDs | proquest_miscellaneous_1808127982 crossref_primary_10_1016_j_engappai_2015_12_002 crossref_citationtrail_10_1016_j_engappai_2015_12_002 elsevier_sciencedirect_doi_10_1016_j_engappai_2015_12_002 |
| PublicationCentury | 2000 |
| PublicationDate | April 2016 2016-04-00 20160401 |
| PublicationDateYYYYMMDD | 2016-04-01 |
| PublicationDate_xml | – month: 04 year: 2016 text: April 2016 |
| PublicationDecade | 2010 |
| PublicationTitle | Engineering applications of artificial intelligence |
| PublicationYear | 2016 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Leonov, Kuznetsov (bib23) 2013; 23 Kuznetsov, Leonov (bib20) 2014; 19 Chen, Yu, Bao (bib7) 2015; 51 Wyk (bib57) 1997 Pham (bib40) 2014; 24 Pyragas (bib45) 1992; 170 Rechenberg, I., 1971. Evolutionsstrategie – Optimierung technischer Systeme nach Prinzipien der biologischen Evolution (Ph.D. thesis), Printed in Fromman–Holzboog (1973). Zelinka, Senkerik, Navratil (bib60) 2007 Chen, Li, Yu, Bao, Xu, Wang (bib6) 2015 Kuznetsov, N., Kuznetsova, O., Leonov, G., Vagaitsev, V., 2013. Analytical-numerical localization of hidden attractor in electrical Chua׳s circuit. In: Lecture Notes in Electrical Engineering, vol. 174 LNEE, Springer, pp. 149–158. Kirkpatrick, Gelatt, Vecchi (bib19) 1983; 220 Kennedy, J., Eberhart, R., 1995. Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks IV. pp. 1942–1948 Zelinka, I., Chen, G., Celikovsky, S., 2008. Chaos synthesis by means of evolutionary algorithms. Int. J. Bifurc. Chaos 18 (4), 911–942. Jafari, S., Sprott, J., Nazarimehr, F., 2015. Recent new examples of hidden attractors, Eur. Phys. J. Special Topics 224, 1469–1476 (2015) © EDP Sciences, Springer-Verlag 2015 Pyragas (bib46) 1995; 206 Zelinka (bib68) 2004 Pareek, Patidar, Sud (bib37) 2010; 10 Ott, Grebogi, Yorke (bib36) 1990; 64 Hilborn (bib10) 1994 Schuster (bib50) 1999 . Li, Zeng, Yang (bib31) 2014; 77 Oplatkova, Z., Senkerik, R., Zelinka, I., Holoska, J., 2010. Synthesis of control law for chaotic Henon system – preliminary study. ECMS 2010, ECMS, Kuala Lumpur, Malaysia, pp. 277–282. Just, W., 1999. Principles of Time Delayed Feedback Control. In: Handbook of Chaos Control, Schuster, H. (Eds.), Wiley-Vch ISBN 3-527-29436-8 Leonov, Kuznetsov, Kuznetsova, Seledzhi, Vagaitsev (bib25) 2011; 6 Zelinka, Davendra, Senkerik, Jasek (bib65) 2011; 2 Alatas, B., Akin, E., Ozer, B.A., 2009. Chaos embedded particle swarm optimization algorithms. Chaos Solitons Fractals 40 (4), 1715–1734, ISSN 0960-0779. Leonov, Kuznetsov, Mokaev (bib30) 2015; 28 Sharma (bib52) 2015 Kantz, Schreiber (bib16) 1997 Jafari, Sprott (bib13) 2013; 57 Drutarovsky, M., Galajda, P., 2007. A robust chaos-based true random number generator embedded in reconfigurable switched-capacitor hardware. In: 17th International Conference Radioelektronika, vols. 1 and 2. Brno, Czech Republic, 24–25 April, pp. 29–34. Pluhacek, Senkerik, Davendra, Kominkova Oplatkova (bib43) 2013; 66 Tahir (bib54) 2015; 25 Bragin, Vagaitsev, Kuznetsov, Leonov (bib4) 2011; 50 Schwefel, H., 1974. Numerische Optimierung von Computer-Modellen (Ph.D. thesis), Reprinted by Birkhauser (1977). Zelinka, I., Senkerik, R., Navratil, E., 2006. Investigation on real time deterministic chaos control by means of evolutionary algorithms. In: 1st IFAC Conference on Analysis and Control of Chaotic Systems, Universite de Reims, CHAOS׳06 Reims France, pp. 211–217. Pluhacek, M., Budikova, V., Senkerik, R., Oplatkova, Z., Zelinka, I. 2012. Extended initial study on the performance of enhanced PSO algorithm with Lozi chaotic map. In: Proceedings of Nostradamus 2012: International Conference on Prediction, Modeling and Analysis of Complex Systems, Springer Series: Advances in Intelligent Systems and Computing, vol. 192. pp. 167–178, ISBN: 978-3-642-33226-5. Bao, Hu, Chen, Xu, Yu (bib3) 2015; 25 Leonov, Kuznetsov, Vagaitsev (bib26) 2012; 241 Persohn, Povinelli (bib38) 2012; 45 Pham (bib39) 2014; 8 Wright, A., Agapie, A., 2001. Cyclic and chaotic behavior in genetic algorithms. In: Proceedings of Genetic and Evolutionary Computation Conference (GECCO), San Francisco, July 7–11. Zelinka, Ivan, Davendra, Donald, Senkerik, Roman, Jasek, Roman, Oplatkova, Zuzana, 2011. In: Eisuke, Kita (Ed.), Analytical Programming – A Novel Approach for Evolutionary Synthesis of Symbolic Structures, Evolutionary Algorithms, ISBN: 978-953-307-171-8, In-Tech Araujo, Coelho (bib2) 2008; 8 Cerny (bib5) 1985; 45 Grebogi, Lai (bib9) 1999 Leonov, Andrievskii, Kuznetsov, Pogromskii (bib28) 2012; 48 Leonov (bib29) 2014; 77 Kapitaniak, Leonov (bib17) 2015; 224 Zelinka, I., Senkerik, R., Navratil, E., 2006. Optimization of feedback control of chaos by evolutionary algorithms. In: 1st IFAC Conference on Analysis and Control of Chaotic Systems, Universite de Reims, CHAOS׳06 Reims France, pp. 97–102. Zelinka, Chadli, Davendra, Senkerik, Jasek (bib67) 2013; 57 Holland (bib11) 1975 Leonov, Kuznetsov, Vagaitsev (bib27) 2012; 241 Zelinka, I., Snasel, V., Ajith A. (Eds.), 2012. Handbook of Optimization, Springer, Germany, p. 1100. Pluhacek, M., Senkerik, R., Zelinka, I. 2012. Impact of various chaotic maps on the performance of chaos enhanced PSO algorithm with inertia weight – an initial study. In: Proceedings of Nostradamus 2012: International Conference on Prediction, Modeling and Analysis of Complex Systems, Springer Series: Advances in Intelligent Systems and Computing, vol. 192. pp. 153–166, ISBN: 978-3-642-33226-5. Hu, Xie, Xiao, Yang, Qu (bib12) 1999 Zelinka, Celikovsky, Richter, Chen (bib63) 2010 Richter H., 2002. An evolutionary algorithm for controlling chaos: the use of multi-objective fitness functions. In: Guervos, M., Panagiotis, J.J., Beyer, A., Villacanas, F.H.G., Schwefel, J.L., Schwefel, H.P. (Eds.), Parallel Problem Solving from Nature-PPSN VII, Lecture Notes in Computer Science, vol. 2439. Springer-Verlag, Berlin, pp. 308–317. Wang, Xue (bib55) 2012; 70 Oplatkova, Z., Senkerik, R., Belaskova, S., Zelinka, I., 2010. Synthesis of control rule for synthesized chaotic system by means of evolutionary techniques, Mendel 2010, Technical University of Brno, Brno, Czech Republic, pp. 91–98. Price (bib44) 1999 Leonov, Kuznetsov, Vagaitsev (bib24) 2011; 375 Oplatkova, Z., Senkerik, R., Zelinka, I., Holoska, J., 2010. Synthesis of control law for chaotic logistic equation – preliminary study, In: 4th International Conference on Mathematical Modelling and Computer Simulation, IEEE, Kota Kinabalu, Borneo, pp. 65–70. Zelinka, Chen, Celikovsky (bib62) 2010 Kuznetsov, Leonov, Vagaitsev (bib21) 2010; 4 Sprott (bib53) 2015; 379 Richter, Reinschke (bib48) 2000; 144 Molaie (bib32) 2013; 23 Leonov (10.1016/j.engappai.2015.12.002_bib25) 2011; 6 Pyragas (10.1016/j.engappai.2015.12.002_bib45) 1992; 170 10.1016/j.engappai.2015.12.002_bib1 Araujo (10.1016/j.engappai.2015.12.002_bib2) 2008; 8 Zelinka (10.1016/j.engappai.2015.12.002_bib68) 2004 10.1016/j.engappai.2015.12.002_bib51 10.1016/j.engappai.2015.12.002_bib8 10.1016/j.engappai.2015.12.002_bib56 Leonov (10.1016/j.engappai.2015.12.002_bib28) 2012; 48 10.1016/j.engappai.2015.12.002_bib14 10.1016/j.engappai.2015.12.002_bib58 10.1016/j.engappai.2015.12.002_bib15 10.1016/j.engappai.2015.12.002_bib59 10.1016/j.engappai.2015.12.002_bib18 Molaie (10.1016/j.engappai.2015.12.002_bib32) 2013; 23 Bao (10.1016/j.engappai.2015.12.002_bib3) 2015; 25 Ott (10.1016/j.engappai.2015.12.002_bib36) 1990; 64 Cerny (10.1016/j.engappai.2015.12.002_bib5) 1985; 45 Leonov (10.1016/j.engappai.2015.12.002_bib27) 2012; 241 Hu (10.1016/j.engappai.2015.12.002_bib12) 1999 Persohn (10.1016/j.engappai.2015.12.002_bib38) 2012; 45 Leonov (10.1016/j.engappai.2015.12.002_bib30) 2015; 28 Pham (10.1016/j.engappai.2015.12.002_bib39) 2014; 8 10.1016/j.engappai.2015.12.002_bib41 Kantz (10.1016/j.engappai.2015.12.002_bib16) 1997 10.1016/j.engappai.2015.12.002_bib42 Price (10.1016/j.engappai.2015.12.002_bib44) 1999 10.1016/j.engappai.2015.12.002_bib47 Kirkpatrick (10.1016/j.engappai.2015.12.002_bib19) 1983; 220 10.1016/j.engappai.2015.12.002_bib49 Zelinka (10.1016/j.engappai.2015.12.002_bib65) 2011; 2 Chen (10.1016/j.engappai.2015.12.002_bib6) 2015 Li (10.1016/j.engappai.2015.12.002_bib31) 2014; 77 Zelinka (10.1016/j.engappai.2015.12.002_bib67) 2013; 57 Kuznetsov (10.1016/j.engappai.2015.12.002_bib21) 2010; 4 Leonov (10.1016/j.engappai.2015.12.002_bib24) 2011; 375 Bragin (10.1016/j.engappai.2015.12.002_bib4) 2011; 50 Pluhacek (10.1016/j.engappai.2015.12.002_bib43) 2013; 66 Wyk (10.1016/j.engappai.2015.12.002_bib57) 1997 Jafari (10.1016/j.engappai.2015.12.002_bib13) 2013; 57 Tahir (10.1016/j.engappai.2015.12.002_bib54) 2015; 25 10.1016/j.engappai.2015.12.002_bib34 10.1016/j.engappai.2015.12.002_bib33 10.1016/j.engappai.2015.12.002_bib35 Sharma (10.1016/j.engappai.2015.12.002_bib52) 2015 Zelinka (10.1016/j.engappai.2015.12.002_bib63) 2010 Wang (10.1016/j.engappai.2015.12.002_bib55) 2012; 70 Holland (10.1016/j.engappai.2015.12.002_bib11) 1975 Zelinka (10.1016/j.engappai.2015.12.002_bib60) 2007 Schuster (10.1016/j.engappai.2015.12.002_bib50) 1999 10.1016/j.engappai.2015.12.002_bib61 Leonov (10.1016/j.engappai.2015.12.002_bib26) 2012; 241 Pyragas (10.1016/j.engappai.2015.12.002_bib46) 1995; 206 10.1016/j.engappai.2015.12.002_bib64 Hilborn (10.1016/j.engappai.2015.12.002_bib10) 1994 10.1016/j.engappai.2015.12.002_bib22 Leonov (10.1016/j.engappai.2015.12.002_bib29) 2014; 77 10.1016/j.engappai.2015.12.002_bib66 Richter (10.1016/j.engappai.2015.12.002_bib48) 2000; 144 Kapitaniak (10.1016/j.engappai.2015.12.002_bib17) 2015; 224 Kuznetsov (10.1016/j.engappai.2015.12.002_bib20) 2014; 19 Zelinka (10.1016/j.engappai.2015.12.002_bib62) 2010 Grebogi (10.1016/j.engappai.2015.12.002_bib9) 1999 Pareek (10.1016/j.engappai.2015.12.002_bib37) 2010; 10 Chen (10.1016/j.engappai.2015.12.002_bib7) 2015; 51 Pham (10.1016/j.engappai.2015.12.002_bib40) 2014; 24 Leonov (10.1016/j.engappai.2015.12.002_bib23) 2013; 23 Sprott (10.1016/j.engappai.2015.12.002_bib53) 2015; 379 |
| References_xml | – volume: 64 start-page: 1196 year: 1990 end-page: 1199 ident: bib36 article-title: Controlling chaos publication-title: Phys. Rev. Lett. – volume: 45 start-page: 41 year: 1985 end-page: 51 ident: bib5 article-title: Thermodynamical approach to the traveling salesman problem publication-title: J. Opt. Theory Appl. – reference: Zelinka, I., Chen, G., Celikovsky, S., 2008. Chaos synthesis by means of evolutionary algorithms. Int. J. Bifurc. Chaos 18 (4), 911–942. – reference: Wright, A., Agapie, A., 2001. Cyclic and chaotic behavior in genetic algorithms. In: Proceedings of Genetic and Evolutionary Computation Conference (GECCO), San Francisco, July 7–11. – reference: Oplatkova, Z., Senkerik, R., Zelinka, I., Holoska, J., 2010. Synthesis of control law for chaotic logistic equation – preliminary study, In: 4th International Conference on Mathematical Modelling and Computer Simulation, IEEE, Kota Kinabalu, Borneo, pp. 65–70. – volume: 220 start-page: 671 year: 1983 end-page: 680 ident: bib19 publication-title: Optim. Simul. Annealing – volume: 48 start-page: 1700 year: 2012 end-page: 1720 ident: bib28 article-title: Aircraft control with anti-windup compensation publication-title: Differ. Equ. – year: 1975 ident: bib11 article-title: Adaptation in Natural and Artificial Systems – volume: 10 start-page: 32 year: 2010 end-page: 38 ident: bib37 article-title: A random bit generator using chaotic maps publication-title: Int. J. Netw. Secur. – volume: 2 start-page: 127 year: 2011 end-page: 140 ident: bib65 article-title: Do evolutionary algorithm dynamics create complex network structures? publication-title: Complex Syst. – reference: Schwefel, H., 1974. Numerische Optimierung von Computer-Modellen (Ph.D. thesis), Reprinted by Birkhauser (1977). – volume: 77 start-page: 277 year: 2014 end-page: 288 ident: bib29 article-title: Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor publication-title: Nonlinear Dyn. – reference: Pluhacek, M., Senkerik, R., Zelinka, I. 2012. Impact of various chaotic maps on the performance of chaos enhanced PSO algorithm with inertia weight – an initial study. In: Proceedings of Nostradamus 2012: International Conference on Prediction, Modeling and Analysis of Complex Systems, Springer Series: Advances in Intelligent Systems and Computing, vol. 192. pp. 153–166, ISBN: 978-3-642-33226-5. – reference: Drutarovsky, M., Galajda, P., 2007. A robust chaos-based true random number generator embedded in reconfigurable switched-capacitor hardware. In: 17th International Conference Radioelektronika, vols. 1 and 2. Brno, Czech Republic, 24–25 April, pp. 29–34. – year: 2015 ident: bib6 article-title: Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua׳s circuit publication-title: Nonlinear Dyn. – reference: Kennedy, J., Eberhart, R., 1995. Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks IV. pp. 1942–1948, – volume: 57 start-page: 2 year: 2013 end-page: 15 ident: bib67 article-title: An investigation on evolutionary reconstruction of continuous chaotic systems publication-title: Math. Comput. Model. – volume: 144 start-page: 309 year: 2000 end-page: 334 ident: bib48 article-title: Optimization of local control of chaos by an evolutionary algorithm publication-title: Phys. D – reference: Zelinka, I., Senkerik, R., Navratil, E., 2006. Optimization of feedback control of chaos by evolutionary algorithms. In: 1st IFAC Conference on Analysis and Control of Chaotic Systems, Universite de Reims, CHAOS׳06 Reims France, pp. 97–102. – reference: Jafari, S., Sprott, J., Nazarimehr, F., 2015. Recent new examples of hidden attractors, Eur. Phys. J. Special Topics 224, 1469–1476 (2015) © EDP Sciences, Springer-Verlag 2015 – year: 2007 ident: bib60 article-title: Investigation on evolutionary optimization of chaos control publication-title: Chaos Solitons Fractals – volume: 50 start-page: 511 year: 2011 end-page: 543 ident: bib4 article-title: Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua׳s circuits publication-title: J. Comput. Syst. Sci. Int. – volume: 4 start-page: 29 year: 2010 end-page: 33 ident: bib21 article-title: Analytical-numerical method for attractor localization of generalized Chua׳s system publication-title: IFAC Proc. Vol. (IFAC-Pap.Online) – year: 1997 ident: bib57 article-title: Chaos in Electronics – reference: Rechenberg, I., 1971. Evolutionsstrategie – Optimierung technischer Systeme nach Prinzipien der biologischen Evolution (Ph.D. thesis), Printed in Fromman–Holzboog (1973). – volume: 8 start-page: 1354 year: 2008 end-page: 1364 ident: bib2 article-title: Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system publication-title: Appl. Soft Comput. – year: 1994 ident: bib10 article-title: Chaos and Nonlinear Dynamics – year: 2015 ident: bib52 article-title: Controlling dynamics of hidden attractors publication-title: Int. J. Bifurc. Chaos – volume: 8 start-page: 535 year: 2014 end-page: 539 ident: bib39 article-title: Generating a novel hyperchaotic system out of equilibrium publication-title: Optoelectron. Adv. Mater.-Rapid Commun. – volume: 379 start-page: 2030 year: 2015 end-page: 2036 ident: bib53 article-title: A chaotic system with a single unstable node publication-title: Phys. Lett. A – year: 2010 ident: bib63 article-title: Evolutionary Algorithms and Chaotic Systems – volume: 6 start-page: 54 year: 2011 end-page: 67 ident: bib25 article-title: Hidden oscillations in dynamical systems publication-title: Trans. Syst. Control – volume: 24 start-page: 1450073 year: 2014 ident: bib40 article-title: Constructing a novel no-equilibrium chaotic system publication-title: Int. J. Bifurc. Chaos – year: 1999 ident: bib50 article-title: Handbook of Chaos Control – start-page: 79 year: 1999 end-page: 108 ident: bib44 article-title: An introduction to differential evolution publication-title: New Ideas Optimization – reference: Zelinka, I., Snasel, V., Ajith A. (Eds.), 2012. Handbook of Optimization, Springer, Germany, p. 1100. – reference: Alatas, B., Akin, E., Ozer, B.A., 2009. Chaos embedded particle swarm optimization algorithms. Chaos Solitons Fractals 40 (4), 1715–1734, ISSN 0960-0779. – year: 1997 ident: bib16 article-title: Nonlinear Time Series Analysis – volume: 25 start-page: 1550075 year: 2015 ident: bib3 article-title: Self-excited and hidden attractors found simultaneously in a modified Chua׳s circuit publication-title: Int. J. Bifurc. Chaos – reference: Zelinka, I., Senkerik, R., Navratil, E., 2006. Investigation on real time deterministic chaos control by means of evolutionary algorithms. In: 1st IFAC Conference on Analysis and Control of Chaotic Systems, Universite de Reims, CHAOS׳06 Reims France, pp. 211–217. – reference: Just, W., 1999. Principles of Time Delayed Feedback Control. In: Handbook of Chaos Control, Schuster, H. (Eds.), Wiley-Vch ISBN 3-527-29436-8 – year: 1999 ident: bib12 article-title: Control of patterns and spatiotemporal chaos and its application publication-title: Handbook of Chaos Control – volume: 241 start-page: 1482 year: 2012 end-page: 1486 ident: bib26 article-title: Hidden attractor in smooth Chua systems publication-title: Phys. D: Nonlinear Phenom. – reference: Oplatkova, Z., Senkerik, R., Belaskova, S., Zelinka, I., 2010. Synthesis of control rule for synthesized chaotic system by means of evolutionary techniques, Mendel 2010, Technical University of Brno, Brno, Czech Republic, pp. 91–98. – volume: 170 start-page: 421 year: 1992 end-page: 428 ident: bib45 article-title: Continuous control of chaos by self-controlling feedback publication-title: Phys. Lett. – volume: 25 start-page: 1550056 year: 2015 ident: bib54 article-title: A novel no-equilibrium chaotic system with multiwing butterfly attractors publication-title: Int. J. Bifurc. Chaos – reference: Kuznetsov, N., Kuznetsova, O., Leonov, G., Vagaitsev, V., 2013. Analytical-numerical localization of hidden attractor in electrical Chua׳s circuit. In: Lecture Notes in Electrical Engineering, vol. 174 LNEE, Springer, pp. 149–158. – volume: 224 start-page: 1405 year: 2015 end-page: 1408 ident: bib17 article-title: Multistability publication-title: Eur. Phys. J. – volume: 77 start-page: 255 year: 2014 end-page: 266 ident: bib31 article-title: On hidden twin attractors and bifurcation in the Chua׳s circuit publication-title: Nonlinear Dyn. – volume: 70 start-page: 1589 year: 2012 end-page: 1592 ident: bib55 article-title: A new pseudo-random number generator based on CML and chaotic iteration publication-title: Nonlinear Dyn. Int. J. Nonlinear Dyn. Chaos Eng. Syst. – start-page: 167 year: 2004 end-page: 218 ident: bib68 article-title: SOMA-self organizing migrating algorithm publication-title: New Optimization Techniques Engineering – volume: 45 start-page: 238 year: 2012 end-page: 245 ident: bib38 article-title: Analyzing logistic map pseudorandom number generators for periodicity induced by finite precision floating-point representation publication-title: Chaos Solitons Fractals – reference: Zelinka, Ivan, Davendra, Donald, Senkerik, Roman, Jasek, Roman, Oplatkova, Zuzana, 2011. In: Eisuke, Kita (Ed.), Analytical Programming – A Novel Approach for Evolutionary Synthesis of Symbolic Structures, Evolutionary Algorithms, ISBN: 978-953-307-171-8, In-Tech, – reference: Richter H., 2002. An evolutionary algorithm for controlling chaos: the use of multi-objective fitness functions. In: Guervos, M., Panagiotis, J.J., Beyer, A., Villacanas, F.H.G., Schwefel, J.L., Schwefel, H.P. (Eds.), Parallel Problem Solving from Nature-PPSN VII, Lecture Notes in Computer Science, vol. 2439. Springer-Verlag, Berlin, pp. 308–317. – volume: 206 start-page: 323 year: 1995 end-page: 330 ident: bib46 article-title: Control of chaos via extended delay feedback publication-title: Phys. Lett. A – reference: Pluhacek, M., Budikova, V., Senkerik, R., Oplatkova, Z., Zelinka, I. 2012. Extended initial study on the performance of enhanced PSO algorithm with Lozi chaotic map. In: Proceedings of Nostradamus 2012: International Conference on Prediction, Modeling and Analysis of Complex Systems, Springer Series: Advances in Intelligent Systems and Computing, vol. 192. pp. 167–178, ISBN: 978-3-642-33226-5. – reference: Oplatkova, Z., Senkerik, R., Zelinka, I., Holoska, J., 2010. Synthesis of control law for chaotic Henon system – preliminary study. ECMS 2010, ECMS, Kuala Lumpur, Malaysia, pp. 277–282. – volume: 51 start-page: 462 year: 2015 end-page: 464 ident: bib7 article-title: Finding hidden attractors in improved memristor-based Chua׳s circuit publication-title: Electron. Lett. – reference: . – volume: 23 year: 2013 ident: bib23 article-title: Hidden attractors in dynamical systems. From hidden oscillations in Hilbert–Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits publication-title: Int. J. Bifurc. Chaos – year: 2010 ident: bib62 article-title: Evolutionary Algorithms and Chaotic Systems – year: 1999 ident: bib9 article-title: Controlling chaos publication-title: Handbook of Chaos Control – volume: 19 start-page: 5445 year: 2014 end-page: 5454 ident: bib20 article-title: Hidden attractors in dynamical systems publication-title: IFAC Proc. Vol. (IFAC-Pap.Online) – volume: 57 start-page: 79 year: 2013 end-page: 84 ident: bib13 article-title: Simple chaotic flows with a line equilibrium publication-title: Chaos Solitons Fractals – volume: 241 start-page: 1482 year: 2012 end-page: 1486 ident: bib27 article-title: Hidden attractor in smooth Chua systems publication-title: Phys. D: Nonlinear Phenom. – volume: 66 start-page: 122 year: 2013 end-page: 134 ident: bib43 article-title: On the behavior and performance of chaos driven PSO algorithm with inertia weight publication-title: Comput. Math. Appl. – volume: 23 start-page: 1350188 year: 2013 ident: bib32 article-title: Simple chaotic flows with one stable equilibrium publication-title: Int. J. Bifurc. Chaos – volume: 28 start-page: 166 year: 2015 end-page: 174 ident: bib30 article-title: Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 375 start-page: 2230 year: 2011 end-page: 2233 ident: bib24 article-title: Localization of hidden Chua׳s attractors publication-title: Phys. Lett. Sect. A – start-page: 79 year: 1999 ident: 10.1016/j.engappai.2015.12.002_bib44 article-title: An introduction to differential evolution – volume: 23 issue: 1 year: 2013 ident: 10.1016/j.engappai.2015.12.002_bib23 article-title: Hidden attractors in dynamical systems. From hidden oscillations in Hilbert–Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127413300024 – year: 1994 ident: 10.1016/j.engappai.2015.12.002_bib10 – ident: 10.1016/j.engappai.2015.12.002_bib47 – year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib52 article-title: Controlling dynamics of hidden attractors publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127415500613 – volume: 23 start-page: 1350188 issue: 11 year: 2013 ident: 10.1016/j.engappai.2015.12.002_bib32 article-title: Simple chaotic flows with one stable equilibrium publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127413501885 – volume: 24 start-page: 1450073 issue: 05 year: 2014 ident: 10.1016/j.engappai.2015.12.002_bib40 article-title: Constructing a novel no-equilibrium chaotic system publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127414500734 – volume: 206 start-page: 323 issue: 206 year: 1995 ident: 10.1016/j.engappai.2015.12.002_bib46 article-title: Control of chaos via extended delay feedback publication-title: Phys. Lett. A doi: 10.1016/0375-9601(95)00654-L – volume: 8 start-page: 535 issue: 5–6 year: 2014 ident: 10.1016/j.engappai.2015.12.002_bib39 article-title: Generating a novel hyperchaotic system out of equilibrium publication-title: Optoelectron. Adv. Mater.-Rapid Commun. – ident: 10.1016/j.engappai.2015.12.002_bib22 doi: 10.1007/978-3-642-31353-0_11 – year: 2010 ident: 10.1016/j.engappai.2015.12.002_bib63 – volume: 10 start-page: 32 issue: 1 year: 2010 ident: 10.1016/j.engappai.2015.12.002_bib37 article-title: A random bit generator using chaotic maps publication-title: Int. J. Netw. Secur. – volume: 220 start-page: 671 issue: 4598 year: 1983 ident: 10.1016/j.engappai.2015.12.002_bib19 publication-title: Optim. Simul. Annealing – volume: 224 start-page: 1405 issue: July (8) year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib17 article-title: Multistability publication-title: Eur. Phys. J. – volume: 241 start-page: 1482 issue: 18 year: 2012 ident: 10.1016/j.engappai.2015.12.002_bib26 article-title: Hidden attractor in smooth Chua systems publication-title: Phys. D: Nonlinear Phenom. doi: 10.1016/j.physd.2012.05.016 – volume: 170 start-page: 421 year: 1992 ident: 10.1016/j.engappai.2015.12.002_bib45 article-title: Continuous control of chaos by self-controlling feedback publication-title: Phys. Lett. doi: 10.1016/0375-9601(92)90745-8 – ident: 10.1016/j.engappai.2015.12.002_bib1 doi: 10.1016/j.chaos.2007.09.063 – volume: 241 start-page: 1482 issue: 18 year: 2012 ident: 10.1016/j.engappai.2015.12.002_bib27 article-title: Hidden attractor in smooth Chua systems publication-title: Phys. D: Nonlinear Phenom. doi: 10.1016/j.physd.2012.05.016 – ident: 10.1016/j.engappai.2015.12.002_bib59 – volume: 25 start-page: 1550075 year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib3 article-title: Self-excited and hidden attractors found simultaneously in a modified Chua׳s circuit publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S0218127415500753 – volume: 28 start-page: 166 issue: 1 year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib30 article-title: Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2015.04.007 – ident: 10.1016/j.engappai.2015.12.002_bib61 doi: 10.1142/S021812740802077X – ident: 10.1016/j.engappai.2015.12.002_bib64 doi: 10.5772/16166 – ident: 10.1016/j.engappai.2015.12.002_bib66 doi: 10.1007/978-3-642-30504-7 – ident: 10.1016/j.engappai.2015.12.002_bib42 – year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib6 article-title: Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua׳s circuit publication-title: Nonlinear Dyn. doi: 10.1007/s11071-015-1983-7 – volume: 77 start-page: 255 issue: 1–2 year: 2014 ident: 10.1016/j.engappai.2015.12.002_bib31 article-title: On hidden twin attractors and bifurcation in the Chua׳s circuit publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1290-8 – year: 1975 ident: 10.1016/j.engappai.2015.12.002_bib11 – ident: 10.1016/j.engappai.2015.12.002_bib51 doi: 10.1007/978-3-0348-5927-1 – volume: 379 start-page: 2030 issue: 36 year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib53 article-title: A chaotic system with a single unstable node publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2015.06.039 – ident: 10.1016/j.engappai.2015.12.002_bib56 – start-page: 167 year: 2004 ident: 10.1016/j.engappai.2015.12.002_bib68 article-title: SOMA-self organizing migrating algorithm – volume: 45 start-page: 238 year: 2012 ident: 10.1016/j.engappai.2015.12.002_bib38 article-title: Analyzing logistic map pseudorandom number generators for periodicity induced by finite precision floating-point representation publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2011.12.006 – volume: 77 start-page: 277 issue: 1–2 year: 2014 ident: 10.1016/j.engappai.2015.12.002_bib29 article-title: Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor publication-title: Nonlinear Dyn. doi: 10.1007/s11071-014-1292-6 – volume: 64 start-page: 1196 year: 1990 ident: 10.1016/j.engappai.2015.12.002_bib36 article-title: Controlling chaos publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.64.1196 – year: 2007 ident: 10.1016/j.engappai.2015.12.002_bib60 article-title: Investigation on evolutionary optimization of chaos control publication-title: Chaos Solitons Fractals – ident: 10.1016/j.engappai.2015.12.002_bib49 doi: 10.1007/3-540-45712-7_30 – volume: 50 start-page: 511 issue: 4 year: 2011 ident: 10.1016/j.engappai.2015.12.002_bib4 article-title: Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua׳s circuits publication-title: J. Comput. Syst. Sci. Int. doi: 10.1134/S106423071104006X – volume: 6 start-page: 54 issue: 2 year: 2011 ident: 10.1016/j.engappai.2015.12.002_bib25 article-title: Hidden oscillations in dynamical systems publication-title: Trans. Syst. Control – ident: 10.1016/j.engappai.2015.12.002_bib41 – year: 1999 ident: 10.1016/j.engappai.2015.12.002_bib9 article-title: Controlling chaos – year: 1997 ident: 10.1016/j.engappai.2015.12.002_bib16 – volume: 144 start-page: 309 year: 2000 ident: 10.1016/j.engappai.2015.12.002_bib48 article-title: Optimization of local control of chaos by an evolutionary algorithm publication-title: Phys. D doi: 10.1016/S0167-2789(00)00080-4 – volume: 8 start-page: 1354 issue: September (4) year: 2008 ident: 10.1016/j.engappai.2015.12.002_bib2 article-title: Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2007.10.016 – volume: 25 start-page: 1550056 issue: 04 year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib54 article-title: A novel no-equilibrium chaotic system with multiwing butterfly attractors publication-title: Int. J. Bifurc. Chaos doi: 10.1142/S021812741550056X – volume: 2 start-page: 127 issue: 20 year: 2011 ident: 10.1016/j.engappai.2015.12.002_bib65 article-title: Do evolutionary algorithm dynamics create complex network structures? publication-title: Complex Syst. doi: 10.25088/ComplexSystems.20.2.127 – year: 2010 ident: 10.1016/j.engappai.2015.12.002_bib62 – ident: 10.1016/j.engappai.2015.12.002_bib14 doi: 10.1140/epjst/e2015-02472-1 – volume: 19 start-page: 5445 year: 2014 ident: 10.1016/j.engappai.2015.12.002_bib20 article-title: Hidden attractors in dynamical systems publication-title: IFAC Proc. Vol. (IFAC-Pap.Online) doi: 10.3182/20140824-6-ZA-1003.02501 – year: 1997 ident: 10.1016/j.engappai.2015.12.002_bib57 – volume: 48 start-page: 1700 issue: 13 year: 2012 ident: 10.1016/j.engappai.2015.12.002_bib28 article-title: Aircraft control with anti-windup compensation publication-title: Differ. Equ. doi: 10.1134/S0012266112130022 – year: 1999 ident: 10.1016/j.engappai.2015.12.002_bib50 – ident: 10.1016/j.engappai.2015.12.002_bib15 doi: 10.1002/3527607455.ch2 – ident: 10.1016/j.engappai.2015.12.002_bib18 doi: 10.1109/ICNN.1995.488968 – volume: 70 start-page: 1589 issue: 2 year: 2012 ident: 10.1016/j.engappai.2015.12.002_bib55 article-title: A new pseudo-random number generator based on CML and chaotic iteration publication-title: Nonlinear Dyn. Int. J. Nonlinear Dyn. Chaos Eng. Syst. – volume: 4 start-page: 29 issue: 1 year: 2010 ident: 10.1016/j.engappai.2015.12.002_bib21 article-title: Analytical-numerical method for attractor localization of generalized Chua׳s system publication-title: IFAC Proc. Vol. (IFAC-Pap.Online) doi: 10.3182/20100826-3-TR-4016.00009 – volume: 66 start-page: 122 issue: 2 year: 2013 ident: 10.1016/j.engappai.2015.12.002_bib43 article-title: On the behavior and performance of chaos driven PSO algorithm with inertia weight publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2013.01.016 – volume: 57 start-page: 79 year: 2013 ident: 10.1016/j.engappai.2015.12.002_bib13 article-title: Simple chaotic flows with a line equilibrium publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2013.08.018 – ident: 10.1016/j.engappai.2015.12.002_bib8 doi: 10.1109/RADIOELEK.2007.371423 – ident: 10.1016/j.engappai.2015.12.002_bib33 – ident: 10.1016/j.engappai.2015.12.002_bib58 – volume: 51 start-page: 462 issue: 6 year: 2015 ident: 10.1016/j.engappai.2015.12.002_bib7 article-title: Finding hidden attractors in improved memristor-based Chua׳s circuit publication-title: Electron. Lett. doi: 10.1049/el.2014.4341 – volume: 57 start-page: 2 issue: 12 year: 2013 ident: 10.1016/j.engappai.2015.12.002_bib67 article-title: An investigation on evolutionary reconstruction of continuous chaotic systems publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2011.06.034 – ident: 10.1016/j.engappai.2015.12.002_bib34 doi: 10.7148/2010-0277-0282 – ident: 10.1016/j.engappai.2015.12.002_bib35 doi: 10.1109/AMS.2010.26 – volume: 45 start-page: 41 issue: 1 year: 1985 ident: 10.1016/j.engappai.2015.12.002_bib5 article-title: Thermodynamical approach to the traveling salesman problem publication-title: J. Opt. Theory Appl. doi: 10.1007/BF00940812 – year: 1999 ident: 10.1016/j.engappai.2015.12.002_bib12 article-title: Control of patterns and spatiotemporal chaos and its application – volume: 375 start-page: 2230 issue: 23 year: 2011 ident: 10.1016/j.engappai.2015.12.002_bib24 article-title: Localization of hidden Chua׳s attractors publication-title: Phys. Lett. Sect. A doi: 10.1016/j.physleta.2011.04.037 |
| SSID | ssj0003846 |
| Score | 2.2739627 |
| Snippet | In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and deterministic chaos. As demonstrated in previous research... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 159 |
| SubjectTerms | Chaos theory Computer simulation Control Deterministic chaos Dynamical systems Dynamics Evolutionary Evolutionary algorithms Hidden attractors Identification Mathematical models Scientific papers |
| Title | Evolutionary identification of hidden chaotic attractors |
| URI | https://dx.doi.org/10.1016/j.engappai.2015.12.002 https://www.proquest.com/docview/1808127982 |
| Volume | 50 |
| WOSCitedRecordID | wos000373410000014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-6769 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0003846 issn: 0952-1976 databaseCode: AIEXJ dateStart: 19950201 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Nb9sgFEdrukMv_diH1o9VnjTtMrEZbAw-VlOqtoqyHVIpN2QIntJWTpa4Uf_8PgzE7rqp3WEXy0IGI37weDzeez-EPmZJLEpd5piIguGUKoNFRjQmJlYszeJSuEDhAR8OxXic__Bc5cuGToBXlbi7y-f_FWooA7Bt6Ow_wL1uFArgHUCHJ8AOz2cB31_55q0_3HTivYFazdDmDKlswO-sydVa1wtHufPARt9mKfzcveJuvAYWTYMN2Ucnn-faAm0D3K-LRic9X_m5580KJOt4owT7IMUkd-QsQVS6HLFe1hGfytttm8SxajySyM44cPXFVD-hv8XUetOxxgIb03YPCvfuw-_y9HIwkKP-ePRp_gtbdjB7i-6pUjbQJuUsFz20eXLeH1-s99xEuJCs0OlOLPiff_03NeS3DbnRMka7aNsfD6ITB-seemGqV2jHHxUiL4iXUBTYOELZayS6wEcPgY9mZeSAjzzwUQv8G3R52h99O8OeFwPrJGU1ZpyoLFeihKM2s4HPPFaxYTqbGDjv22BpQ5MJNUbRJEkKVsLyKLVgWimuNei7b1GvmlXmHYpAOxEl55wxNUk1UyIzVKdM8YzZVH1kH7EwTFL7pPGWu-RGBu_AKxmGV9rhlYRKGN599HVdb-7SpjxZIw8oSK_8OaVOwkx6su6HAJsE6WivvIrKzG6XklhiGcpzQQ-e8c0h2mqXwhHq1Ytb8x691Kt6ulwc-zl3D1WTiWo |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Evolutionary+identification+of+hidden+chaotic+attractors&rft.jtitle=Engineering+applications+of+artificial+intelligence&rft.au=Zelinkaa%2C+Ivan&rft.date=2016-04-01&rft.issn=0952-1976&rft.volume=50&rft.spage=159&rft.epage=167&rft_id=info:doi/10.1016%2Fj.engappai.2015.12.002&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0952-1976&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0952-1976&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0952-1976&client=summon |