A Chaotic System with Adjustable Number of Coexisting Attractors

doi:10.19596/j.cnki.1001-246x.8218

Abstract

Abstract: A chaotic system with adjustable number of coexisting attractors was proposed with Silnikov theorem. Firstly, a chaotic system with simple structure is constructed based on a classical chaotic system. Dynamic properties of the system are investigated and chaotic characteristics of the system in the sense of horseshoe are verified. Then, multi-zero piecewise function is introduced into the system to expand balance point of the system with adding invariant set of the system. A chaotic system with adjustable number of coexisting attractors is established. Due to complexity of coexisting attractors, the system has potential application in secure communication.

Key words: chaotic system, coexistence attractor, piecewise function, equilibrium point, Silnikov theorem

CLC Number:

O415.5

YAN Minxiu, XU Hui. A Chaotic System with Adjustable Number of Coexisting Attractors[J]. Chinese Journal of Computational Physics, 2021, 38(2): 244-252.

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