Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System
This paper proposes a new no-equilibrium chaotic system that has the ability to yield infinitely many coexisting hidden attractors. Dynamic behaviors of the system with respect to the parameters and initial conditions are numerically studied. It shows that the system has chaotic, quasiperiodic, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8175639 |
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| _version_ | 1849305412721967104 |
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| author | Qiang Lai Paul Didier Kamdem Kuate Huiqin Pei Hilaire Fotsin |
| author_facet | Qiang Lai Paul Didier Kamdem Kuate Huiqin Pei Hilaire Fotsin |
| author_sort | Qiang Lai |
| collection | DOAJ |
| description | This paper proposes a new no-equilibrium chaotic system that has the ability to yield infinitely many coexisting hidden attractors. Dynamic behaviors of the system with respect to the parameters and initial conditions are numerically studied. It shows that the system has chaotic, quasiperiodic, and periodic motions for different parameters and coexists with a large number of hidden attractors for different initial conditions. The circuit and microcontroller implementations of the system are given for illustrating its physical meaning. Also, the synchronization conditions of the system are established based on the adaptive control method. |
| format | Article |
| id | doaj-art-07ab48bf84944c45b4b2d5c05e2f1a07 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-07ab48bf84944c45b4b2d5c05e2f1a072025-08-20T03:55:28ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/81756398175639Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic SystemQiang Lai0Paul Didier Kamdem Kuate1Huiqin Pei2Hilaire Fotsin3School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaLaboratory of Condensed Matter, Electronics and Signal Processing Department of Physics, University of Dschang, P.O. Box 067, Dschang, CameroonSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaLaboratory of Condensed Matter, Electronics and Signal Processing Department of Physics, University of Dschang, P.O. Box 067, Dschang, CameroonThis paper proposes a new no-equilibrium chaotic system that has the ability to yield infinitely many coexisting hidden attractors. Dynamic behaviors of the system with respect to the parameters and initial conditions are numerically studied. It shows that the system has chaotic, quasiperiodic, and periodic motions for different parameters and coexists with a large number of hidden attractors for different initial conditions. The circuit and microcontroller implementations of the system are given for illustrating its physical meaning. Also, the synchronization conditions of the system are established based on the adaptive control method.http://dx.doi.org/10.1155/2020/8175639 |
| spellingShingle | Qiang Lai Paul Didier Kamdem Kuate Huiqin Pei Hilaire Fotsin Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System Complexity |
| title | Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System |
| title_full | Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System |
| title_fullStr | Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System |
| title_full_unstemmed | Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System |
| title_short | Infinitely Many Coexisting Attractors in No-Equilibrium Chaotic System |
| title_sort | infinitely many coexisting attractors in no equilibrium chaotic system |
| url | http://dx.doi.org/10.1155/2020/8175639 |
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