A New 4-D Multistable Hyperchaotic Two-Scroll System, its Bifurcation Analysis, Synchronization and Circuit Simulation
A new 4-D hyperchaotic two-scroll system with three quadratic nonlinearities and a cubic nonlinearity is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc...
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| Veröffentlicht in: | Journal of physics. Conference series 2021-02, Vol.1764 (1), p.12206 |
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| container_title | Journal of physics. Conference series |
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| creator | Vaidyanathan, Sundarapandian Sambas, Aceng Mujiarto Mamat, Mustafa Wilarso Mada Sanjaya, W.S. Sutoni, Akhmad Gunawan, I |
| description | A new 4-D hyperchaotic two-scroll system with three quadratic nonlinearities and a cubic nonlinearity is proposed in this paper. The dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc. We also establish that the new hyperchaotic system has multistability with coexisting attractors. As a control application, we use integral sliding mode control for active self-synchronization of the new hyperchaotic systems as master-slave systems. As an engineering application, an electronic circuit design of the new hyperchaotic two-scroll system is developed in MultiSIM, which confirms the feasibility of the system. |
| doi_str_mv | 10.1088/1742-6596/1764/1/012206 |
| format | Article |
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The dynamical properties of the new hyperchaotic system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, symmetry, dissipativity, etc. We also establish that the new hyperchaotic system has multistability with coexisting attractors. As a control application, we use integral sliding mode control for active self-synchronization of the new hyperchaotic systems as master-slave systems. 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| subjects | Active control Chaos theory Circuit design Circuits Electronic circuits Liapunov exponents Nonlinearity Physics Sliding mode control Synchronism |
| title | A New 4-D Multistable Hyperchaotic Two-Scroll System, its Bifurcation Analysis, Synchronization and Circuit Simulation |
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