论文标题

基于新的Memristors Chua的混乱系统中的对称共存吸引子

Symmetric coexisting attractors in a novel memristors-based Chua's chaotic system

论文作者

Yan, S. H., Song, Z. L., Shi, W. L., Zhao, W. L.

论文摘要

在本文中,根据经典的Chua电路,引入了电荷控制的备忘录来设计一种新型的四维混沌系统。研究了新型混乱系统的复杂动力学,例如平衡点,稳定性,耗散,分叉图,Lyapunov指数光谱和相肖像。通过改变系统的初始条件,可以从数值模拟中发现该系统显示出一些兴趣的动态,包括双翼混乱吸引子,共存的周期性偶然气泡,不对称和对称共存的属性。结果表明,新型电路系统具有极高的多稳定性。

In this paper, based on the classic Chua's circuit, a charge-controlled memristor is introduced to design a novel four-dimensional chaotic system. The complex dynamics of the novel chaotic system such as equilibrium points, stability, dissipation, bifurcation diagrams, Lyapunov exponent spectra and phase portraits are investigated. By varying the initial conditions of the system, it is found from numerical simulations that the system shows some dynamics of great interests including double-wings chaotic attractors, coexisting periodic-chaotic bubbles, asymmetric and symmetric coexisting attrators. The results show that the novel circuit system has extreme multistablity.

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