Dynamic system with no equilibrium and its chaos anti-synchronization
Recently, systems with chaos and the absence of equilibria have received a great deal of attention. In our work, a simple five-term system and its anti-synchronization are presented. It is special that the system has a hyperbolic sine nonlinearity and no equilibrium. Such a system generates chaotic...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-01-01
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| Series: | Automatika |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/00051144.2018.1491934 |
| _version_ | 1818514128702013440 |
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| author | Victor Kamdoum Tamba Viet-Thanh Pham Duy Vo Hoang Sajad Jafari Fawaz E. Alsaadi Fuad E. Alsaadi |
| author_facet | Victor Kamdoum Tamba Viet-Thanh Pham Duy Vo Hoang Sajad Jafari Fawaz E. Alsaadi Fuad E. Alsaadi |
| author_sort | Victor Kamdoum Tamba |
| collection | DOAJ |
| description | Recently, systems with chaos and the absence of equilibria have received a great deal of attention. In our work, a simple five-term system and its anti-synchronization are presented. It is special that the system has a hyperbolic sine nonlinearity and no equilibrium. Such a system generates chaotic behaviours, which are verified by phase portraits, positive Lyapunov exponent as well as an electronic circuit. Moreover, the system displays multistable characteristic when changing its initial conditions. By constructing an adaptive control, chaos anti-synchronization of the system with no equilibrium is obtained and illustrated via a numerical example. |
| first_indexed | 2024-12-11T00:11:28Z |
| format | Article |
| id | doaj.art-10d2effa88604873a81830ea76df46d1 |
| institution | Directory Open Access Journal |
| issn | 0005-1144 1848-3380 |
| language | English |
| last_indexed | 2024-12-11T00:11:28Z |
| publishDate | 2018-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Automatika |
| spelling | doaj.art-10d2effa88604873a81830ea76df46d12022-12-22T01:28:08ZengTaylor & Francis GroupAutomatika0005-11441848-33802018-01-01591354210.1080/00051144.2018.14919341491934Dynamic system with no equilibrium and its chaos anti-synchronizationVictor Kamdoum Tamba0Viet-Thanh Pham1Duy Vo Hoang2Sajad Jafari3Fawaz E. Alsaadi4Fuad E. Alsaadi5IUT-Fotso Victor of Bandjoun, University of DschangTon Duc Thang UniversityTon Duc Thang UniversityAmirkabir University of TechnologyKing Abdulaziz UniversityKing Abdulaziz UniversityRecently, systems with chaos and the absence of equilibria have received a great deal of attention. In our work, a simple five-term system and its anti-synchronization are presented. It is special that the system has a hyperbolic sine nonlinearity and no equilibrium. Such a system generates chaotic behaviours, which are verified by phase portraits, positive Lyapunov exponent as well as an electronic circuit. Moreover, the system displays multistable characteristic when changing its initial conditions. By constructing an adaptive control, chaos anti-synchronization of the system with no equilibrium is obtained and illustrated via a numerical example.http://dx.doi.org/10.1080/00051144.2018.1491934Chaoshyperbolic sineequilibriummultistabilitycontrolanti-synchronization |
| spellingShingle | Victor Kamdoum Tamba Viet-Thanh Pham Duy Vo Hoang Sajad Jafari Fawaz E. Alsaadi Fuad E. Alsaadi Dynamic system with no equilibrium and its chaos anti-synchronization Automatika Chaos hyperbolic sine equilibrium multistability control anti-synchronization |
| title | Dynamic system with no equilibrium and its chaos anti-synchronization |
| title_full | Dynamic system with no equilibrium and its chaos anti-synchronization |
| title_fullStr | Dynamic system with no equilibrium and its chaos anti-synchronization |
| title_full_unstemmed | Dynamic system with no equilibrium and its chaos anti-synchronization |
| title_short | Dynamic system with no equilibrium and its chaos anti-synchronization |
| title_sort | dynamic system with no equilibrium and its chaos anti synchronization |
| topic | Chaos hyperbolic sine equilibrium multistability control anti-synchronization |
| url | http://dx.doi.org/10.1080/00051144.2018.1491934 |
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