Dynamics analysis of chaotic circuit with two memristors

作     者：BAO BoCheng SHI GuoDong XU JianPing LIU Zhong PAN SaiHu 

作者机构：School of lnformation Science and Engineering Changzhou University Changzhou 213164 China School of Electrical Engineering Southwest Jiaotong University Chengdu 610031 China Department of Electronic Engineering Nanjing University of Science and Technology Nanjing 210094 China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2011年第54卷第8期

页      面：2180-2187页

核心收录：

学科分类：080804[工学-电力电子与电力传动] 080805[工学-电工理论与新技术] 0808[工学-电气工程] 08[工学] 

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60971090) the Natural Science Foundations of Jiangsu Province, China (Grant No. BK2009105) 

主　　题：memristor chaotic circuit initial state equilibrium point set stability 

摘      要：Based on Chua’s chaotic oscillation circuit, a fifth-order chaotic circuit with two memristors is designed and its corresponding dimensionless mathematic model is established. By using conventional dynamical analysis methods, stability analysis of the equilibrium set of the circuit is performed, the distribution of stable and unstable regions corresponding to the memristor initial states is achieved, and the complex dynamical behaviors of the circuit depending on the circuit parameters and the memristor initial states are investigated. The theoretical analysis and numerical simulation results demonstrate that the proposed chaotic circuit with two memristors has an equilibrium set located on the plane constituted by the inner state variables of two memristors. The stability of the equilibrium set depends on both the circuit parameters and the initial states of the two memristors. Rich nonlinear dynamical phenomena, such as state transitions, transient hyperchaos and so on, are expected.