Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations
This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are introduced to enhance the effectiveness and robustness of the algorithm. Several benchmark studies are carried out. Logistic map gives the b...
Gespeichert in:
| Veröffentlicht in: | Computers & mathematics with applications (1987) Jg. 68; H. 4; S. 508 - 530 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
01.08.2014
|
| Schlagworte: | |
| ISSN: | 0898-1221 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are introduced to enhance the effectiveness and robustness of the algorithm. Several benchmark studies are carried out. Logistic map gives the best results and is utilized in solving nonlinear equation sets. Nine well known problems are solved with our algorithm and results are compared with Quantum Behaved Particle Swarm Optimization, Intelligent Tuned Harmony Search, Gravitational Search Algorithm and literature studies. Comparison results reveal that the proposed algorithm can cope with the highly non-linear problems and outperforms many algorithms which exist in the literature. |
|---|---|
| AbstractList | This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are introduced to enhance the effectiveness and robustness of the algorithm. Several benchmark studies are carried out. Logistic map gives the best results and is utilized in solving nonlinear equation sets. Nine well known problems are solved with our algorithm and results are compared with Quantum Behaved Particle Swarm Optimization, Intelligent Tuned Harmony Search, Gravitational Search Algorithm and literature studies. Comparison results reveal that the proposed algorithm can cope with the highly non-linear problems and outperforms many algorithms which exist in the literature. |
| Author | Turgut, Oguz Emrah Turgut, Mert Sinan Coban, Mustafa Turhan |
| Author_xml | – sequence: 1 givenname: Oguz Emrah surname: Turgut fullname: Turgut, Oguz Emrah – sequence: 2 givenname: Mert Sinan orcidid: 0000-0002-5739-2119 surname: Turgut fullname: Turgut, Mert Sinan – sequence: 3 givenname: Mustafa Turhan surname: Coban fullname: Coban, Mustafa Turhan |
| BookMark | eNp9kDtvAjEQhF0QKZDkF6RxmYbL2j7uUUYoLwkpTVJbtm8NRndnsA2I_PockCpFqpVG841mZ0JGve-RkHsGGQNWPK4zo7qDyjiwPIMiAyZGZAxVXU0Z5-yaTGJcA0AuOIzJcr5SPjlDtzvVp11HNa7UHhu6UWGQW6TxoEJH_Sa5zn2r5HxPVbv0waVVR60PNPp27_olHXq0rkc1KMeYcGAsxSH2hMRbcmVVG_Hu996Qr5fnz_nbdPHx-j5_WkyNYLM0LRlybZDpXGOtm8bOikqXzSBybY0VBZiyMjXyWYFMWWVrNGCbWkOteSMKcUMeLrmb4Lc7jEl2LhpsW9Wj30XJipwLKEsmBqu4WE3wMQa0chNcp8JRMpCnKeVanqeUpyklFBLOVP2HMi6df0xBufZf9gfXjISB |
| CitedBy_id | crossref_primary_10_1177_1461348419901084 crossref_primary_10_1016_j_eswa_2020_114418 crossref_primary_10_1109_TSMC_2019_2957324 crossref_primary_10_1016_j_jcde_2018_10_006 crossref_primary_10_1111_exsy_12669 crossref_primary_10_1155_2017_1583847 crossref_primary_10_1140_epjp_i2018_12091_1 crossref_primary_10_1016_j_asoc_2016_08_019 crossref_primary_10_1016_j_asoc_2022_109394 crossref_primary_10_1016_j_eswa_2020_113261 crossref_primary_10_1007_s12652_019_01242_0 crossref_primary_10_1007_s00500_022_07199_1 crossref_primary_10_1007_s40430_016_0661_0 crossref_primary_10_3390_math10122152 crossref_primary_10_1007_s10462_022_10280_8 crossref_primary_10_1016_j_eswa_2023_122025 crossref_primary_10_1287_ijoc_2018_0876 crossref_primary_10_1038_srep20362 crossref_primary_10_1080_17455030_2023_2226249 crossref_primary_10_1109_TSMC_2022_3157816 crossref_primary_10_1155_2020_9464593 crossref_primary_10_1007_s00521_023_08330_5 crossref_primary_10_1115_1_4039582 crossref_primary_10_1007_s12065_019_00255_0 crossref_primary_10_1007_s00521_017_3088_3 crossref_primary_10_1080_00207721_2024_2337039 crossref_primary_10_1016_j_chaos_2022_112570 crossref_primary_10_1016_j_optcom_2016_02_016 crossref_primary_10_3390_app8060990 crossref_primary_10_1007_s12043_017_1514_9 crossref_primary_10_1007_s10462_020_09944_0 crossref_primary_10_1016_j_asr_2018_08_006 crossref_primary_10_1007_s00500_022_07780_8 crossref_primary_10_1007_s12530_019_09291_8 crossref_primary_10_1016_j_knosys_2019_105312 crossref_primary_10_1109_TEVC_2017_2670779 crossref_primary_10_1007_s10845_015_1158_x crossref_primary_10_1109_JAS_2021_1004278 crossref_primary_10_3390_math10091368 crossref_primary_10_1016_j_matcom_2021_07_010 crossref_primary_10_1016_j_chaos_2015_09_027 crossref_primary_10_1177_0959651818785840 crossref_primary_10_1007_s10462_022_10324_z crossref_primary_10_1016_j_asoc_2016_01_019 crossref_primary_10_3390_math9101140 crossref_primary_10_1016_j_matcom_2022_05_029 |
| Cites_doi | 10.1016/j.cam.2010.09.010 10.1109/CASoN.2010.168 10.1016/j.enconman.2005.01.002 10.1016/j.chaos.2005.08.034 10.1016/S0952-1976(97)00067-5 10.1145/328512.328521 10.1109/81.933333 10.1016/j.cnsns.2011.08.021 10.1007/s10852-009-9117-1 10.1007/BF02234767 10.1109/TEVC.2003.810069 10.1016/j.asoc.2013.06.018 10.1016/j.amc.2013.04.041 10.1016/j.jtbi.2008.05.010 10.1002/nme.1267 10.1016/j.amc.2013.05.057 10.1137/0727047 10.1137/040607095 10.1016/j.enconman.2008.06.009 10.1007/s00521-010-0432-2 10.1016/j.cnsns.2012.06.009 10.1109/ICNN.1995.488968 10.1080/019697298125678 10.1016/j.amc.2011.09.021 10.1016/j.camwa.2008.10.005 10.1016/j.swevo.2011.12.001 10.1109/CIS.2012.21 10.1016/j.jocs.2013.10.002 10.1016/j.cnsns.2012.07.017 10.1109/ICICSE.2009.38 10.1016/0377-0427(95)00032-1 10.1016/j.eswa.2007.02.002 10.1103/PhysRevLett.81.1195 10.1016/j.chaos.2005.08.208 10.1016/j.eswa.2009.06.044 10.1016/j.camwa.2013.04.018 10.1016/j.eswa.2010.02.042 10.1137/0731049 10.1007/BF01743964 10.1016/j.camwa.2006.12.081 10.1016/j.amc.2008.05.135 10.1109/CDC.1997.657685 10.1007/978-3-540-74282-1_41 10.1109/ICSMC.2005.1571614 10.1109/4235.985692 10.1016/j.chaos.2004.11.095 10.1007/BF02390521 10.1016/j.chaos.2003.12.032 10.1109/GRC.2009.5255079 10.4028/www.scientific.net/AMM.389.918 10.1016/j.asoc.2007.05.013 10.1016/j.amc.2007.02.103 10.1103/PhysRevB.47.14206 10.1016/0096-3003(83)90001-2 10.1109/CEC.2004.1330875 10.1016/j.cnsns.2010.12.025 10.1016/j.matcom.2004.10.003 10.1016/j.camwa.2011.05.031 10.1137/S0036142995281504 10.1016/j.chaos.2006.10.028 10.1109/TSMCA.2008.918599 10.1016/j.asoc.2011.05.016 10.1016/j.ins.2011.12.035 10.1016/j.ins.2014.02.123 10.1016/j.chaos.2005.08.121 10.1016/j.chaos.2003.09.047 10.1016/j.procs.2010.04.160 10.1016/j.chaos.2007.09.063 10.1007/0-306-47617-7 10.1007/BF01933165 10.1023/A:1011595429513 10.1016/j.ins.2009.03.004 10.1016/0375-9601(78)90195-0 10.1016/j.nonrwa.2008.03.006 10.1016/j.amc.2013.07.066 10.1007/BF02307383 10.1016/j.amc.2010.03.114 10.1007/BF01209629 10.1016/j.cam.2010.09.019 |
| ContentType | Journal Article |
| DBID | AAYXX CITATION 7SC 7TB 7U5 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.camwa.2014.06.013 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Solid State and Superconductivity Abstracts Technology Research Database 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 Solid State and Superconductivity Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EndPage | 530 |
| ExternalDocumentID | 10_1016_j_camwa_2014_06_013 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29F 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9DU 9JN AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AATTM AAXKI AAXUO AAYFN AAYWO AAYXX ABAOU ABBOA ABFNM ABJNI ABMAC ABWVN ABXDB ACDAQ ACGFS ACIWK ACLOT ACNCT ACNNM ACRLP ACRPL ACVFH ACZNC ADBBV ADCNI ADEZE ADMUD ADNMO ADTZH ADVLN AEBSH AECPX AEIPS AEKER AENEX AEUPX AEXQZ AFFNX AFJKZ AFPUW AFTJW AGHFR AGQPQ AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIGII AIGVJ AIIUN AIKHN AITUG AKBMS AKRWK AKYEP ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU AOUOD APXCP ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CITATION CS3 DU5 EBS EFJIC EFKBS EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HVGLF HZ~ IHE IXB J1W JJJVA KOM LG9 M26 M41 MHUIS MO0 N9A O-L O9- OAUVE OK1 OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RNS ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SST SSV SSW SSZ T5K TAE TN5 WUQ XPP ZMT ZY4 ~G- ~HD 7SC 7TB 7U5 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c315t-71e2bce1b4be9bddf568b7de2b2bfcf360c78c9e256e1afaf9ec0fd9b09b2d363 |
| ISICitedReferencesCount | 62 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000340988500005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0898-1221 |
| IngestDate | Sun Sep 28 00:42:16 EDT 2025 Sat Nov 29 07:58:55 EST 2025 Tue Nov 18 21:44:38 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c315t-71e2bce1b4be9bddf568b7de2b2bfcf360c78c9e256e1afaf9ec0fd9b09b2d363 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0000-0002-5739-2119 |
| PQID | 1642307713 |
| PQPubID | 23500 |
| PageCount | 23 |
| ParticipantIDs | proquest_miscellaneous_1642307713 crossref_primary_10_1016_j_camwa_2014_06_013 crossref_citationtrail_10_1016_j_camwa_2014_06_013 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-08-01 |
| PublicationDateYYYYMMDD | 2014-08-01 |
| PublicationDate_xml | – month: 08 year: 2014 text: 2014-08-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Computers & mathematics with applications (1987) |
| PublicationYear | 2014 |
| References | Hong (10.1016/j.camwa.2014.06.013_br000060) 1994; 53 Moore (10.1016/j.camwa.2014.06.013_br000520) 1979 Wang (10.1016/j.camwa.2014.06.013_br000535) 2011; 235 Hansen (10.1016/j.camwa.2014.06.013_br000050) 1983; 12 Shi (10.1016/j.camwa.2014.06.013_br000315) 1998 Clerc (10.1016/j.camwa.2014.06.013_br000340) 2002; 6 Toutounian (10.1016/j.camwa.2014.06.013_br000145) 2009; 8 Wang (10.1016/j.camwa.2014.06.013_br000235) 2014; 274 10.1016/j.camwa.2014.06.013_br000475 Coelho (10.1016/j.camwa.2014.06.013_br000365) 2008; 49 Sacco (10.1016/j.camwa.2014.06.013_br000150) 2011; 11 Pourrajabian (10.1016/j.camwa.2014.06.013_br000165) 2013; 219 Yang (10.1016/j.camwa.2014.06.013_br000130) 2010; 6 Gandomi (10.1016/j.camwa.2014.06.013_br000240) 2013; 18 10.1016/j.camwa.2014.06.013_br000115 Yang (10.1016/j.camwa.2014.06.013_br000310) 2010 Chang (10.1016/j.camwa.2014.06.013_br000385) 2006; 29 Argyros (10.1016/j.camwa.2014.06.013_br000005) 1993; 4 Moore (10.1016/j.camwa.2014.06.013_br000080) 1966 Talathari (10.1016/j.camwa.2014.06.013_br000245) 2012; 17 He (10.1016/j.camwa.2014.06.013_br000420) 2001; 48 Liu (10.1016/j.camwa.2014.06.013_br000370) 2006; 29 Mo (10.1016/j.camwa.2014.06.013_br000140) 2009; 57 Rashedi (10.1016/j.camwa.2014.06.013_br000480) 2009; 179 Bader (10.1016/j.camwa.2014.06.013_br000035) 2005; 43 Bickham (10.1016/j.camwa.2014.06.013_br000025) 1993; 47 Mingjun (10.1016/j.camwa.2014.06.013_br000255) 2004; 21 Alatas (10.1016/j.camwa.2014.06.013_br000270) 2011; 16 Kearfott (10.1016/j.camwa.2014.06.013_br000070) 1991; 1 Xi (10.1016/j.camwa.2014.06.013_br000350) 2008; 205 Jaberipour (10.1016/j.camwa.2014.06.013_br000210) 2011; 62 Erramilli (10.1016/j.camwa.2014.06.013_br000425) 1994 10.1016/j.camwa.2014.06.013_br000330 Ren (10.1016/j.camwa.2014.06.013_br000160) 2013; 219 10.1016/j.camwa.2014.06.013_br000295 Barbashov (10.1016/j.camwa.2014.06.013_br000020) 1982; 84 Yadav (10.1016/j.camwa.2014.06.013_br000485) 2012; 196 Caponetto (10.1016/j.camwa.2014.06.013_br000405) 2008; 7 10.1016/j.camwa.2014.06.013_br000215 Gandomi (10.1016/j.camwa.2014.06.013_br000225) 2014; 5 Chuanwen (10.1016/j.camwa.2014.06.013_br000280) 2005; 68 10.1016/j.camwa.2014.06.013_br000335 El-Emary (10.1016/j.camwa.2014.06.013_br000170) 2008; 5 May (10.1016/j.camwa.2014.06.013_br000430) 1976; 261 Krzyworzcka (10.1016/j.camwa.2014.06.013_br000505) 1996; 69 Floudas (10.1016/j.camwa.2014.06.013_br000490) 1999 Gandomi (10.1016/j.camwa.2014.06.013_br000275) 2013; 18 Chuanwen (10.1016/j.camwa.2014.06.013_br000285) 2005; 46 10.1016/j.camwa.2014.06.013_br000320 Cai (10.1016/j.camwa.2014.06.013_br000345) 2008; 254 10.1016/j.camwa.2014.06.013_br000325 Gharooni-fard (10.1016/j.camwa.2014.06.013_br000250) 2010; 1 Grosan (10.1016/j.camwa.2014.06.013_br000180) 2008; 38 Karr (10.1016/j.camwa.2014.06.013_br000110) 1998; 11 Devaney (10.1016/j.camwa.2014.06.013_br000445) 1987 Coelho (10.1016/j.camwa.2014.06.013_br000355) 2010; 37 Rao (10.1016/j.camwa.2014.06.013_br000375) 2005; 23 10.1016/j.camwa.2014.06.013_br000395 Yang (10.1016/j.camwa.2014.06.013_br000470) 2013; 9 Tavazoei (10.1016/j.camwa.2014.06.013_br000410) 2007; 187 Ott (10.1016/j.camwa.2014.06.013_br000455) 2002 Hansen (10.1016/j.camwa.2014.06.013_br000055) 1981; 21 Xiang (10.1016/j.camwa.2014.06.013_br000290) 2007; 190 Luo (10.1016/j.camwa.2014.06.013_br000540) 2008; 8 Alatas (10.1016/j.camwa.2014.06.013_br000300) 2009; 40 Sharma (10.1016/j.camwa.2014.06.013_br000515) 2013; 222 Hammer (10.1016/j.camwa.2014.06.013_br000040) 1993 Hansen (10.1016/j.camwa.2014.06.013_br000045) 1992 Neumaier (10.1016/j.camwa.2014.06.013_br000085) 1990 Holstad (10.1016/j.camwa.2014.06.013_br000010) 1999; 3 Pourjarafi (10.1016/j.camwa.2014.06.013_br000200) 2012; 4 Hilborn (10.1016/j.camwa.2014.06.013_br000415) 2004 10.1016/j.camwa.2014.06.013_br000265 Kearfott (10.1016/j.camwa.2014.06.013_br000065) 1990; 27 Alatas (10.1016/j.camwa.2014.06.013_br000220) 2010; 37 Morgan (10.1016/j.camwa.2014.06.013_br000100) 1987 Sun (10.1016/j.camwa.2014.06.013_br000465) 2011; 218 Li (10.1016/j.camwa.2014.06.013_br000440) 2011; 20 10.1016/j.camwa.2014.06.013_br000305 Rump (10.1016/j.camwa.2014.06.013_br000090) 1988 Li (10.1016/j.camwa.2014.06.013_br000400) 1998; 29 Morgan (10.1016/j.camwa.2014.06.013_br000500) 1987; 13 Van Hentenryck (10.1016/j.camwa.2014.06.013_br000095) 1997; 34 Verschelde (10.1016/j.camwa.2014.06.013_br000105) 1994; 31 Ingber (10.1016/j.camwa.2014.06.013_br000525) 1996; 25 Arora (10.1016/j.camwa.2014.06.013_br000435) 1995; 9 Liu (10.1016/j.camwa.2014.06.013_br000390) 2005; 25 Oliveira (10.1016/j.camwa.2014.06.013_br000530) 2013; 13 Jäger (10.1016/j.camwa.2014.06.013_br000495) 1995 Hirsch (10.1016/j.camwa.2014.06.013_br000135) 2009; 10 Alatas (10.1016/j.camwa.2014.06.013_br000230) 2010; 216 Mhetre (10.1016/j.camwa.2014.06.013_br000155) 2012; 3 Grau-Snchez (10.1016/j.camwa.2014.06.013_br000510) 2011; 235 Yuan (10.1016/j.camwa.2014.06.013_br000030) 2008; 55 Yan (10.1016/j.camwa.2014.06.013_br000380) 2006; 29 Krawczyk (10.1016/j.camwa.2014.06.013_br000075) 1969; 4 Zhaxi (10.1016/j.camwa.2014.06.013_br000190) 2013; 389 Zhang (10.1016/j.camwa.2014.06.013_br000195) 2012; 48 Kowalski (10.1016/j.camwa.2014.06.013_br000015) 1999; 81 Rovira (10.1016/j.camwa.2014.06.013_br000175) 2005; 63 Abdollahi (10.1016/j.camwa.2014.06.013_br000205) 2013; 65 10.1016/j.camwa.2014.06.013_br000120 Luo (10.1016/j.camwa.2014.06.013_br000545) 2005; 22 Grosan (10.1016/j.camwa.2014.06.013_br000185) 2006; vol. 4293 Zaslavskii (10.1016/j.camwa.2014.06.013_br000460) 1978; 69 Coelho (10.1016/j.camwa.2014.06.013_br000360) 2008; 37 10.1016/j.camwa.2014.06.013_br000125 Coelho (10.1016/j.camwa.2014.06.013_br000260) 2008; 34 Peitgen (10.1016/j.camwa.2014.06.013_br000450) 1992 |
| References_xml | – volume: 235 start-page: 1689 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000535 article-title: A new filled function method for an unconstrained nonlinear equation publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2010.09.010 – start-page: 69 year: 1998 ident: 10.1016/j.camwa.2014.06.013_br000315 article-title: A modified particle swarm optimizer – volume: 5 start-page: 282 issue: 3 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000170 article-title: Towards using genetic algorithm for solving nonlinear equation systems publication-title: World Appl. Sci. J. – ident: 10.1016/j.camwa.2014.06.013_br000215 doi: 10.1109/CASoN.2010.168 – volume: 46 start-page: 2689 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000285 article-title: A self-adaptive chaotic particle swarm algorithm for short term hydroelectric system scheduling in deregulated environment publication-title: Energy Convers. Manage. doi: 10.1016/j.enconman.2005.01.002 – volume: 29 start-page: 454 issue: 2 year: 2006 ident: 10.1016/j.camwa.2014.06.013_br000370 article-title: Directing orbits of chaotic systems by particle swarm optimization publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2005.08.034 – volume: 261 start-page: 59 issue: 4 year: 1976 ident: 10.1016/j.camwa.2014.06.013_br000430 article-title: Simple mathematical models with very complicated dynamics publication-title: Nature – volume: 11 start-page: 369 year: 1998 ident: 10.1016/j.camwa.2014.06.013_br000110 article-title: Solutions to systems of nonlinear equations via a genetic algorithm publication-title: Eng. Appl. Artif. Intell. doi: 10.1016/S0952-1976(97)00067-5 – volume: 13 start-page: 152 year: 1987 ident: 10.1016/j.camwa.2014.06.013_br000500 article-title: Box-bisection for solving second-degree systems and the problem of clustering publication-title: ACM Trans. Math. Software doi: 10.1145/328512.328521 – volume: 48 start-page: 900 issue: 7 year: 2001 ident: 10.1016/j.camwa.2014.06.013_br000420 article-title: Chaotic characteristic of a one-dimensional iterative map with infinite collapses publication-title: IEEE Trans. Circuits Syst. doi: 10.1109/81.933333 – year: 2004 ident: 10.1016/j.camwa.2014.06.013_br000415 – volume: 17 start-page: 1312 year: 2012 ident: 10.1016/j.camwa.2014.06.013_br000245 article-title: Imperialist competitive algorithm combined with chaos for global optimization publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2011.08.021 – volume: 8 start-page: 425 year: 2009 ident: 10.1016/j.camwa.2014.06.013_br000145 article-title: A hybrid of the Newton-GMRES and electromagnetic meta-heuristic methods for solving systems of nonlinear equations publication-title: J. Math. Model. Algorithms Oper. Res. doi: 10.1007/s10852-009-9117-1 – year: 1993 ident: 10.1016/j.camwa.2014.06.013_br000040 article-title: Numerical toolbox for verified computing – volume: 187 start-page: 76 issue: 10 year: 2007 ident: 10.1016/j.camwa.2014.06.013_br000410 article-title: Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms publication-title: Appl. Math. Comput. – volume: 4 start-page: 187 year: 1969 ident: 10.1016/j.camwa.2014.06.013_br000075 article-title: Newton-algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken publication-title: Computing doi: 10.1007/BF02234767 – volume: 7 start-page: 289 issue: 3 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000405 article-title: Chaotic sequences to improve the performance of evolutionary algorithms publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2003.810069 – year: 1999 ident: 10.1016/j.camwa.2014.06.013_br000490 – volume: 13 start-page: 4349 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000530 article-title: Solving nonlinear systems of functional equations with fuzzy adaptive simulated annealing publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2013.06.018 – volume: 219 start-page: 10967 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000160 article-title: Solving nonlinear equations systems via an effective genetic algorithm with symmetric and harmonious individuals publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2013.04.041 – volume: 254 start-page: 123 issue: 1 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000345 article-title: Optimizing the codon usage of synthetic gene with QPSO algorithm publication-title: J. Theoret. Biol. doi: 10.1016/j.jtbi.2008.05.010 – start-page: 217 year: 1988 ident: 10.1016/j.camwa.2014.06.013_br000090 article-title: Verification methods for dense and sparse systems of equations – volume: 4 start-page: 199 year: 1993 ident: 10.1016/j.camwa.2014.06.013_br000005 article-title: On the solution of undetermined systems of nonlinear equations in Euclidean spaces publication-title: Pure Math. Appl. – volume: 63 start-page: 1424 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000175 article-title: A new methodology to solve non-linear equation system using genetic algorithms. application to combined cycle gas turbine simulation publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.1267 – volume: 219 start-page: 11483 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000165 article-title: Applying genetic algorithms for solving nonlinear algebraic equations publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2013.05.057 – year: 2002 ident: 10.1016/j.camwa.2014.06.013_br000455 – volume: 27 start-page: 804 year: 1990 ident: 10.1016/j.camwa.2014.06.013_br000065 article-title: Pre conditioners for the interval Gauss–Seidel method publication-title: SIAM J. Numer. Anal. doi: 10.1137/0727047 – volume: 43 start-page: 1321 issue: 3 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000035 article-title: Tensor–Krylov methods for solving large-scale systems of nonlinear equations publication-title: SIAM J. Numer. Anal. doi: 10.1137/040607095 – year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000310 – volume: 49 start-page: 3080 issue: 11 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000365 article-title: Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for economic load dispatch with valve-point effects publication-title: Energy Convers. Manage. doi: 10.1016/j.enconman.2008.06.009 – volume: vol. 4293 start-page: 283 year: 2006 ident: 10.1016/j.camwa.2014.06.013_br000185 article-title: Evolutionary method for nonlinear systems of equations – volume: 20 start-page: 133 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000440 article-title: A novel Hash algorithm construction based on chaotic neural network publication-title: Neural Comput. Appl. doi: 10.1007/s00521-010-0432-2 – volume: 18 start-page: 89 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000240 article-title: Firefly algorithm with chaos publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2012.06.009 – volume: 48 start-page: 45 issue: 22 year: 2012 ident: 10.1016/j.camwa.2014.06.013_br000195 article-title: Artificial bee colony algorithm for solving nonlinear equationand system publication-title: Comput. Eng. Appl. – ident: 10.1016/j.camwa.2014.06.013_br000305 doi: 10.1109/ICNN.1995.488968 – volume: 6 start-page: 3431 issue: 10 year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000130 article-title: Hybrid artificial glow-worm swarm optimization algorithm for solving system of nonlinear equations publication-title: J. Comput. Inf. Syst. – volume: 29 start-page: 409 issue: 4 year: 1998 ident: 10.1016/j.camwa.2014.06.013_br000400 article-title: Optimizing complex functions by chaos search publication-title: Cybern. Syst. doi: 10.1080/019697298125678 – volume: 3 start-page: 114 issue: 2 year: 2012 ident: 10.1016/j.camwa.2014.06.013_br000155 article-title: Genetic algorithm for linear and nonlinear equation publication-title: Internat. J. Adv. Eng. Technol. – volume: 218 start-page: 3763 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000465 article-title: Quarntum behaved particle swarm optimization with Gaussian distributed local attractor point publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2011.09.021 – volume: 57 start-page: 1877 year: 2009 ident: 10.1016/j.camwa.2014.06.013_br000140 article-title: Conjugate direction particle swarm optimization solving systems of nonlinear equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2008.10.005 – volume: 4 start-page: 33 year: 2012 ident: 10.1016/j.camwa.2014.06.013_br000200 article-title: Solving nonlinear equations systems with a new approach based on invasive weed optimization algorithm and clustering publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2011.12.001 – ident: 10.1016/j.camwa.2014.06.013_br000475 – ident: 10.1016/j.camwa.2014.06.013_br000125 doi: 10.1109/CIS.2012.21 – volume: 5 start-page: 224 year: 2014 ident: 10.1016/j.camwa.2014.06.013_br000225 article-title: Chaotic bat algorithm publication-title: J. Computat. Sci. doi: 10.1016/j.jocs.2013.10.002 – volume: 18 start-page: 327 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000275 article-title: Chaos-enhanced accelerated particle swarm optimization publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2012.07.017 – year: 1990 ident: 10.1016/j.camwa.2014.06.013_br000085 – ident: 10.1016/j.camwa.2014.06.013_br000265 doi: 10.1109/ICICSE.2009.38 – volume: 69 start-page: 181 year: 1996 ident: 10.1016/j.camwa.2014.06.013_br000505 article-title: Extension of the Lanczos and CGS methods to systems of nonlinear equations publication-title: J. Comput. Appl. Math. doi: 10.1016/0377-0427(95)00032-1 – year: 1966 ident: 10.1016/j.camwa.2014.06.013_br000080 – volume: 34 start-page: 1905 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000260 article-title: Use of chaotic sequences in a biologically inspired algorithm for engineering design optimization publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2007.02.002 – year: 1979 ident: 10.1016/j.camwa.2014.06.013_br000520 – year: 1987 ident: 10.1016/j.camwa.2014.06.013_br000445 – ident: 10.1016/j.camwa.2014.06.013_br000335 – volume: 81 start-page: 1195 year: 1999 ident: 10.1016/j.camwa.2014.06.013_br000015 article-title: Towards complete solutions to systems of nonlinear equations of many-electron theories publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.81.1195 – volume: 29 start-page: 1079 issue: 5 year: 2006 ident: 10.1016/j.camwa.2014.06.013_br000380 article-title: A novel stability criterion for interval time-delay chaotic systems via the evolutionary programming approach publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2005.08.208 – volume: 22 start-page: 109 issue: 1 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000545 article-title: Hybrid genetic algorithm for solving systems of nonlinear equations publication-title: Chin. J. Comput. Mech. – volume: 37 start-page: 1676 year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000355 article-title: Gaussian quantum-behaved particle swarm optimization approaches for constrained engineering design problems publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2009.06.044 – year: 1994 ident: 10.1016/j.camwa.2014.06.013_br000425 – volume: 65 start-page: 1894 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000205 article-title: Imperialist competitive algorithm for solving systems of nonlinear equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2013.04.018 – volume: 37 start-page: 5682 year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000220 article-title: Chaotic bee colony algorithms for global numerical optimization publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2010.02.042 – volume: 31 start-page: 915 year: 1994 ident: 10.1016/j.camwa.2014.06.013_br000105 article-title: Homotopies exploiting Newton polytopes for solving sparse polynomial systems publication-title: SIAM J. Numer. Anal. doi: 10.1137/0731049 – volume: 9 start-page: 137 year: 1995 ident: 10.1016/j.camwa.2014.06.013_br000435 article-title: Global optimization methods for engineering application: a review publication-title: Struct. Optim. doi: 10.1007/BF01743964 – volume: 55 start-page: 116 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000030 article-title: A new backtracking inexact BFGS method for symmetric nonlinear equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2006.12.081 – volume: 205 start-page: 751 issue: 2 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000350 article-title: An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2008.05.135 – ident: 10.1016/j.camwa.2014.06.013_br000395 doi: 10.1109/CDC.1997.657685 – ident: 10.1016/j.camwa.2014.06.013_br000115 doi: 10.1007/978-3-540-74282-1_41 – ident: 10.1016/j.camwa.2014.06.013_br000325 doi: 10.1109/ICSMC.2005.1571614 – volume: 6 start-page: 58 issue: 1 year: 2002 ident: 10.1016/j.camwa.2014.06.013_br000340 article-title: The particle swarm: explosion, stability, and convergence in a multi-dimensional complex space publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.985692 – volume: 25 start-page: 1261 issue: 5 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000390 article-title: Improved particle swam optimization combined with chaos publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2004.11.095 – start-page: 41 year: 1995 ident: 10.1016/j.camwa.2014.06.013_br000495 article-title: A combined method for enclosing all solutions of nonlinear systems of polynomial equations publication-title: Reliab. Comput. doi: 10.1007/BF02390521 – volume: 21 start-page: 933 year: 2004 ident: 10.1016/j.camwa.2014.06.013_br000255 article-title: Application of chaos in simulated annealing publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2003.12.032 – ident: 10.1016/j.camwa.2014.06.013_br000120 doi: 10.1109/GRC.2009.5255079 – volume: 389 start-page: 918 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000190 article-title: A novel firefly algorithm of solving nonlinear equation group publication-title: Appl. Mech. Mater. doi: 10.4028/www.scientific.net/AMM.389.918 – year: 1992 ident: 10.1016/j.camwa.2014.06.013_br000045 – volume: 8 start-page: 1068 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000540 article-title: Hybrid approach for solving systems of nonlinear equations using chaos optimization and quasi-Newton method publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2007.05.013 – volume: 190 start-page: 1637 year: 2007 ident: 10.1016/j.camwa.2014.06.013_br000290 article-title: An improved particle swarm optimization algorithm combined with piecewise linear chaotic map publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2007.02.103 – volume: 47 start-page: 14206 year: 1993 ident: 10.1016/j.camwa.2014.06.013_br000025 article-title: Stationary and moving intrinsic localized modes in one-dimensional monatomic lattices with cubic and quartic anharmonicity publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.47.14206 – volume: 12 start-page: 89 year: 1983 ident: 10.1016/j.camwa.2014.06.013_br000050 article-title: An interval newton method publication-title: Appl. Math. Comput. doi: 10.1016/0096-3003(83)90001-2 – ident: 10.1016/j.camwa.2014.06.013_br000320 doi: 10.1109/CEC.2004.1330875 – volume: 16 start-page: 3696 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000270 article-title: Uniform Big Bang- Chaotic Big Crunch optimization publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2010.12.025 – volume: 68 start-page: 57 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000280 article-title: A hybrid method of chaotic particle swarm optimization and linear interior for reactive power optimisation publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2004.10.003 – volume: 62 start-page: 566 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000210 article-title: Particle swarm algorithm for solving systems of nonlinear equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.05.031 – volume: 1 start-page: 59 year: 1991 ident: 10.1016/j.camwa.2014.06.013_br000070 article-title: A review of preconditioners for the interval Gauss–Seidel method publication-title: Interval Comput. – volume: 34 start-page: 797 issue: 2 year: 1997 ident: 10.1016/j.camwa.2014.06.013_br000095 article-title: Solving polynomial systems using a branch and prune approach publication-title: SIAM J. Numer. Anal. doi: 10.1137/S0036142995281504 – volume: 37 start-page: 1409 issue: 5 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000360 article-title: A quantum particle swarm optimizer with chaotic mutation operator publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2006.10.028 – volume: 38 issue: 3 year: 2008 ident: 10.1016/j.camwa.2014.06.013_br000180 article-title: A new approach for solving nonlinear equations systems publication-title: IEEE Trans. Syst. Man Cybern. A doi: 10.1109/TSMCA.2008.918599 – volume: 11 start-page: 5424 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000150 article-title: Finding all solutions of nonlinear systems using a hybrid metaheuristic with fuzzy clustering means publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2011.05.016 – volume: 196 start-page: 47 year: 2012 ident: 10.1016/j.camwa.2014.06.013_br000485 article-title: An intelligent tuned harmony search algorithm for optimisation publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.12.035 – volume: 274 start-page: 17 year: 2014 ident: 10.1016/j.camwa.2014.06.013_br000235 article-title: Chaotic Krill Herd algorithm publication-title: Inform. Sci. doi: 10.1016/j.ins.2014.02.123 – volume: 29 start-page: 1047 issue: 5 year: 2006 ident: 10.1016/j.camwa.2014.06.013_br000385 article-title: Parameter identification of Rosslers chaotic system by an evolutionary algorithm publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2005.08.121 – volume: 23 start-page: 1137 issue: 4 year: 2005 ident: 10.1016/j.camwa.2014.06.013_br000375 article-title: Parameter identification of dynamical systems publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2003.09.047 – year: 1987 ident: 10.1016/j.camwa.2014.06.013_br000100 – volume: 1 start-page: 1445 year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000250 article-title: Scheduling of scientific workflows using a chaos-genetic algorithm publication-title: Procedia Comput. Sci. doi: 10.1016/j.procs.2010.04.160 – volume: 25 start-page: 33 issue: 1 year: 1996 ident: 10.1016/j.camwa.2014.06.013_br000525 article-title: Adaptive simulated annealing (ASA): lessons learned publication-title: Control Cybernet. – volume: 40 start-page: 1715 year: 2009 ident: 10.1016/j.camwa.2014.06.013_br000300 article-title: Chaos embedded particle swarm optimization algorithms publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2007.09.063 – ident: 10.1016/j.camwa.2014.06.013_br000330 doi: 10.1007/0-306-47617-7 – volume: 21 start-page: 203 year: 1981 ident: 10.1016/j.camwa.2014.06.013_br000055 article-title: Bounding solutions of systems of equations using interval analysis publication-title: BIT doi: 10.1007/BF01933165 – volume: 3 start-page: 229 year: 1999 ident: 10.1016/j.camwa.2014.06.013_br000010 article-title: Numerical solution of nonlinear equations in chemical speciation calculations publication-title: Comput. Geosci. doi: 10.1023/A:1011595429513 – volume: 179 start-page: 2232 year: 2009 ident: 10.1016/j.camwa.2014.06.013_br000480 article-title: GSA: a gravitational search algorithm publication-title: Inform. Sci. doi: 10.1016/j.ins.2009.03.004 – volume: 69 start-page: 145 year: 1978 ident: 10.1016/j.camwa.2014.06.013_br000460 article-title: The simplest case of a strange attractor publication-title: Phys. Lett. A doi: 10.1016/0375-9601(78)90195-0 – volume: 10 start-page: 2000 year: 2009 ident: 10.1016/j.camwa.2014.06.013_br000135 article-title: Solving systems of nonlinear equations with continuous GRASP publication-title: Nonlinear Anal. RWA doi: 10.1016/j.nonrwa.2008.03.006 – volume: 222 start-page: 497 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000515 article-title: On efficient weighted-Newton methods for solving systems of nonlinear equations publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2013.07.066 – volume: 53 start-page: 323 year: 1994 ident: 10.1016/j.camwa.2014.06.013_br000060 article-title: Safe starting regions by fixed points and tightening publication-title: Computing doi: 10.1007/BF02307383 – volume: 216 start-page: 2687 year: 2010 ident: 10.1016/j.camwa.2014.06.013_br000230 article-title: Chaotic harmony search algorithms publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2010.03.114 – volume: 84 start-page: 471 year: 1982 ident: 10.1016/j.camwa.2014.06.013_br000020 article-title: General solutions of nonlinear equations in the geometric theory of the relativistic string publication-title: Comm. Math. Phys. doi: 10.1007/BF01209629 – volume: 235 start-page: 1739 year: 2011 ident: 10.1016/j.camwa.2014.06.013_br000510 article-title: Frozen divided difference scheme for solving systems of nonlinear equations publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2010.09.019 – volume: 9 start-page: 3873 issue: 10 year: 2013 ident: 10.1016/j.camwa.2014.06.013_br000470 article-title: Multi-objective Quantum-behaved Particle Swarm Optimization with Entropy Based Density Assesment and Chaotic Mutation Operator publication-title: J. Computat. Inform. Syst. – ident: 10.1016/j.camwa.2014.06.013_br000295 – year: 1992 ident: 10.1016/j.camwa.2014.06.013_br000450 |
| SSID | ssj0004320 |
| Score | 2.3753457 |
| Snippet | This study proposes a novel chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations. Different chaotic maps are... |
| SourceID | proquest crossref |
| SourceType | Aggregation Database Enrichment Source Index Database |
| StartPage | 508 |
| SubjectTerms | Algorithms Chaos theory Dynamical systems Mathematical analysis Nonlinear dynamics Robustness Swarm intelligence |
| Title | Chaotic quantum behaved particle swarm optimization algorithm for solving nonlinear system of equations |
| URI | https://www.proquest.com/docview/1642307713 |
| Volume | 68 |
| WOSCitedRecordID | wos000340988500005&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 issn: 0898-1221 databaseCode: AIEXJ dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 20180131 titleUrlDefault: https://www.sciencedirect.com omitProxy: false ssIdentifier: ssj0004320 providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Li9swEBYh20MvfZduX6jQm2vw29JxWVLa0m4LTUtuRpLlZJfYyTrx7tLf1R_Y0ctxurB0DyVggizLj_mYGY1mPiH0lkasJKRMffDGqZ8wGfu0ClIfTHXGuMi41PGOn5_zkxMym9Fvo9FvVwtzscybhlxd0fV_FTW0gbBV6ewtxN0PCg3wH4QORxA7HP9J8McLtlIsrOcdfLSuNoX44FaubV9vc8na2luBrqhtEabHlvNVe7pd1DrrEJ5PhxkaQ6PBHN-zcizleTeI8TmKA7s1xEYDqe6ZYF3p3GCRXBND7Ucgpl0777Qt-DrvfnmTehCj3p37Itut913l7fTLJqCKTCayKgKrmAedF_a0jWOESZ9F16s7CvPZyNRLO92ckQEGk4GiTQMysNmpWdu5Zg5MZOIMpvr1pSKZChNN1mqqX_fJt_8yin2qosuCOyv0IIUapFC5gGqr5IMoTykZo4Ojj5PZp109bmzoQN0bObYrnVd47Vn2PaJ9h0B7OdMH6J6dnuAjA5WHaCSbR-i-ky-2luAxmluUYYsybFGGHcqwRhkeogz3KMOAMmxRhnuUYYMyvKpwj7In6Mf7yfT4g2_37PBFHKZbPw9lxIUMecIl5WVZpRnheQmNEa9EFWeByImgEjxtGQI0KipFUJWUB5RHZZzFT9EY7iufISx4FrKSspCwOMnLiGaVSIkid4IfSZJDFLnvVghLaK_2VVkWN8jsEL3rL1obPpebu79xAilA76rFNNbIVbcpQpi4g33Mw_j57YZ8ge7u4P8SjbdtJ1-hO-Jie7ppX1so_QE9Ra57 |
| 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=Chaotic+quantum+behaved+particle+swarm+optimization+algorithm+for+solving+nonlinear+system+of+equations&rft.jtitle=Computers+%26+mathematics+with+applications+%281987%29&rft.au=Turgut%2C+Oguz+Emrah&rft.au=Turgut%2C+Mert+Sinan&rft.au=Coban%2C+Mustafa+Turhan&rft.date=2014-08-01&rft.issn=0898-1221&rft.volume=68&rft.issue=4&rft.spage=508&rft.epage=530&rft_id=info:doi/10.1016%2Fj.camwa.2014.06.013&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_camwa_2014_06_013 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0898-1221&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0898-1221&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0898-1221&client=summon |