基于忆阻器的混沌系统及其分岔分析

2014 International Conference on Computational Intelligence and Communication Networks Pub Date : 2014-11-14 DOI:10.1109/CICN.2014.81

Xiaofang Hu, Gang Feng, Shukai Duan, W. Yin, Guanrong Chen

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引用次数: 1

摘要

本文提出并研究了一种基于忆阻器的混沌系统，该系统将HP TiO2忆阻器集成到正则Chen混沌系统中。更精确地说，引入了一种带有适当边界条件的电荷控制忆阻器模型。建立了电荷与通过忆阻器的磁通之间的关系，并将其作为非线性项应用于所构建的混沌系统。通过计算李雅普诺夫指数谱和李雅普诺夫维数，观察混沌吸引子，分析分岔，证明了基于忆阻器的系统具有丰富的动力学行为。

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A Memristor-Based Chaotic System with Bifurcation Analysis

This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO2 memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.

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2014 International Conference on Computational Intelligence and Communication Networks

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