CHAOS ENTANGLEMENT: A NEW APPROACH TO GENERATE CHAOS

作者: HONGTAO ZHANG , XINZHI LIU , XUEMIN SHEN , JUN LIU

DOI: 10.1142/S0218127413300140

关键词:

摘要: A new approach to generate chaotic phenomenon, called chaos entanglement, is proposed in this paper. The basic principle entangle two or multiple stable linear subsystems by entanglement functions form an artificial system such that each of them evolves a manner. Firstly, attractor, entangling two-dimensional subsystem and one-dimensional one sine function, presented as example. Dynamical analysis shows both entangled are bounded all equilibra unstable saddle points when achieved. Also, numerical computation has positive Lyapunov exponent, which implies chaos. Furthermore, conditions given achieve entanglement. Along way, different functions, variety novel attractors have been created abundant complex dynamics exhibited. Our discovery indicates it not difficult any more construct systems/networks for engineering applications chaos-based secure communication. Finally, possible circuit realize these attractors.

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