A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation
Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the r...
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| Vydané v: | Complexity (New York, N.Y.) Ročník 2020; číslo 2020; s. 1 - 8 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Cairo, Egypt
Hindawi Publishing Corporation
02.07.2020
Hindawi John Wiley & Sons, Inc Wiley |
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| ISSN: | 1076-2787, 1099-0526 |
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| Abstract | Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y-axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero. |
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| AbstractList | Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y-axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero. Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y -axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero. |
| Audience | Academic |
| Author | Wang, Faqiang Xiao, Yufang |
| Author_xml | – sequence: 1 fullname: Wang, Faqiang – sequence: 2 fullname: Xiao, Yufang |
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| Cites_doi | 10.1016/j.cnsns.2012.11.025 10.1016/0167-2789(85)90011-9 10.7498/aps.54.1500 10.1016/j.nima.2007.08.163 10.1002/cta.736 10.1109/access.2019.2938556 10.1109/81.964432 10.1016/j.ijleo.2016.03.042 10.15388/na.2014.2.9 10.1002/cta.2339 10.1109/tcsvt.2014.2369711 10.1049/el:20000293 10.1002/cta.2572 10.1007/s11071-014-1272-x 10.1007/s11071-016-3184-4 10.1049/el:20020524 10.3390/e17127882 10.1142/s0218127406015179 10.1016/j.chaos.2018.03.033 10.1371/journal.pone.0168300 10.1007/s11071-017-3563-5 10.1142/s0218127419501177 10.1109/tcsii.2019.2907709 10.1063/1.5116732 10.1016/j.chaos.2011.06.017 10.1088/0143-0807/26/4/003 10.1109/access.2019.2894853 10.7498/aps.58.8139 10.1007/s11071-015-1984-6 10.1088/1674-1056/27/1/018201 10.1088/1009-1963/15/12/019 10.1088/1361-6404/aae35c 10.4028/www.scientific.net/amr.605-607.1734 10.1186/1687-5281-2013-43 10.1016/j.chaos.2018.12.030 10.7498/aps.53.2084 10.7498/aps.56.1983 |
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| Copyright | Copyright © 2020 Faqiang Wang and Yufang Xiao. COPYRIGHT 2020 John Wiley & Sons, Inc. Copyright © 2020 Faqiang Wang and Yufang Xiao. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0 |
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| SubjectTerms | Analog circuits Analysis Chaos theory Communication Design Digital integrated circuits Digital signal processors Digital to analog converters Eigenvalues Equilibrium Field programmable gate arrays Hardware description languages Mathematical models Phase locked loops Simulation Software Stability analysis Step functions |
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| Title | A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation |
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