多维混沌系统的构建及其多通道自适应控制

doi:10.16088/j.issn.1001-6600.2023040201

Abstract

Abstract: To solve the problem of simple behavior and small key space in low dimensional chaotic systems, a design method of multi-dimensional chaotic systems is proposed. The general formula of system structure and equilibrium point are given, and the chaotic property of Smale horseshoe system is verified by Si’lnikov theorem. Taking a three-dimensional chaotic system as an example, its dynamic characteristics are analyzed and its displacement control is enhanced. The chaos system is constructed by Multisim circuit simulation software, and the realization of the system is verified. Based on the adaptive theory, a multi-channel adaptive synchronization controller is designed. The controller can realize synchronization under various system error combinations and improve the security of chaotic systems in secure communication.

Key words: chaotic system, Si’lnikov, homologous orbit, Smale horseshoe, chaotic circuit, synchronous control

CLC Number: O415.5;TP273

YAN Minxiu, JIN Qisen. Construction of Multi-dimensional Chaotic Systems and Its Multi-channel Adaptive Control[J].Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(6): 8-21.

References

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Construction of Multi-dimensional Chaotic Systems and Its Multi-channel Adaptive Control

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