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A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
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A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
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A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
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Journal Article
A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
2023
Overview
A simple four-dimensional chaotic system is proposed in this paper. Based on the analysis of Hamiltonian energy and conservative nature, the system is considered as Hamiltonian conservative system. The conservative and chaotic properties of the system are verified by phase diagram, Lyapunov exponents, bifurcation diagram and complexity diagram. Then, extreme multistability of the system is studied when selecting different initial values, and it can observe the nested coexistence of unequal and equal energy levels. The topology of these conservative motions is closely related to the isoenergy line of the Hamiltonian function. In addition, the offset-boosting under parameter control is studied by phase diagram, time-domain waveform and mean value. The simulation circuit and the experiment circuit verify the feasibility of the system. Finally, the system is applied to finite-time synchronization, which lays a foundation for the application in practical engineering.
