A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability
Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/9345036 |
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| _version_ | 1832550758113869824 |
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| author | Dhinakaran Veeman Hayder Natiq Ahmed M. Ali Ali Karthikeyan Rajagopal Iqtadar Hussain |
| author_facet | Dhinakaran Veeman Hayder Natiq Ahmed M. Ali Ali Karthikeyan Rajagopal Iqtadar Hussain |
| author_sort | Dhinakaran Veeman |
| collection | DOAJ |
| description | Here, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents (LEs), and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various dynamics, such as equilibrium point and chaos. The stability analysis of equilibrium points shows there are both stable and unstable fixed points. |
| format | Article |
| id | doaj-art-6016e6a1b71c4fd5bf5c72b90abf1fe4 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6016e6a1b71c4fd5bf5c72b90abf1fe42025-02-03T06:05:55ZengWileyComplexity1099-05262022-01-01202210.1155/2022/9345036A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and MultistabilityDhinakaran Veeman0Hayder Natiq1Ahmed M. Ali Ali2Karthikeyan Rajagopal3Iqtadar Hussain4Centre for Additive ManufacturingInformation Technology CollageDepartment of Electronics TechniquesCentre for Nonlinear SystemsMathematics ProgramHere, a novel conservative chaotic oscillator is presented. Various dynamics of the oscillator are examined. Studying the dynamical properties of the oscillator reveals its unique behaviors. The oscillator is multistable with symmetric dynamics. Equilibrium points of the oscillator are investigated. Bifurcations, Lyapunov exponents (LEs), and the Poincare section of the oscillator’s dynamics are analyzed. Also, the oscillator is investigated from the viewpoint of initial conditions. The study results show that the oscillator is conservative and has no dissipation. It also has various dynamics, such as equilibrium point and chaos. The stability analysis of equilibrium points shows there are both stable and unstable fixed points.http://dx.doi.org/10.1155/2022/9345036 |
| spellingShingle | Dhinakaran Veeman Hayder Natiq Ahmed M. Ali Ali Karthikeyan Rajagopal Iqtadar Hussain A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability Complexity |
| title | A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability |
| title_full | A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability |
| title_fullStr | A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability |
| title_full_unstemmed | A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability |
| title_short | A Simple Conservative Chaotic Oscillator with Line of Equilibria: Bifurcation Plot, Basin Analysis, and Multistability |
| title_sort | simple conservative chaotic oscillator with line of equilibria bifurcation plot basin analysis and multistability |
| url | http://dx.doi.org/10.1155/2022/9345036 |
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