Chaotic system with multistable and adjustable number of attractors

Abstract

Abstract: In chaotic system, chaotic attractors with multistability and adjustable number have important research potential in secure communication. Therefore, it is meaningful to try to build a chaotic system with multistability and adjustable number. Based on the traditional dissipative chaotic system, a simple model of chaotic system is established. By analyzing the dynamic characteristics of the system, it is verified that different attractors can coexist in the same phase space with different initial conditions, and then the multistability of the system is verified. On this basis, the hyperbolic tangent function is introduced into the system. The coexistence of attractors is generated by expanding the equilibrium point of the system, and the coexistence of attractors with adjustable number is established which is verified by relevant theoretical research and numerical simulation. Finally, the experiments and validation of the simulated circuit based on the model system were carried out, which indicate the possibility of the system implementation. Due to the complexity of the dynamic behavior of the coexistence of multisteady state and attractor, the system has good application potential in the field of secure communication.

Key words: dissipate chaotic system, hyperbolic tangent function, multistability, coexistence of attractors, circuit implementation

CLC Number:

TP11
O415.5

YAN Min-xiu, XIE Jun-hong, ZHANG Shuai. Chaotic system with multistable and adjustable number of attractors[J]. Journal of Lanzhou University of Technology, 2022, 48(6): 88-95.

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