摘要

Based on the Hide-Skeldon-Acheson system,a new four-dimension periodically-forced hyperchaotic system is constructed,which not only contains nonlinear terms of trigonometric function and cubic polynomial,but also has infi? nitely many isolated equilibria. Firstly,the equilibrium and stability of the new system are analyzed,and then a multista? bility property is found with appropriate parameters,i.e.,periodic solutions and a hidden chaotic attractor coexist. Fur? ther studies show that the current system has a megastability property,i.e.,countable infinite periodic solutions or chaot? ic attractors coexist. Finally,Hopf bifurcation of the system is studied,and numerical simulations verify the theoretical results. ? 2021 Journal of Dynamics and Control.

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