Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit

A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical circuit with the same topologies and circuit parameters. A memristor-based chaotic circuit and the corresponding Chua...

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Bibliographic Details
Published in:	Chinese physics B 2014-07, Vol.23 (7), p.303-310
Main Authors:	Bao, Bo-Cheng, Hu, Feng-Wei, Liu, Zhong, Xu, Jian-Ping
Format:	Article
Language:	eng
Subjects:	Chaos theory Circuits Computer simulation Differentiators Dynamics Equivalence Mapping Mathematical models 动力学分析动态电路基础映射电路等效蔡氏混沌电路设计非线性动力学
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Summary:	A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical circuit with the same topologies and circuit parameters. A memristor-based chaotic circuit and the corresponding Chua＇s chaotic circuit with two output differentiators are taken as examples to illustrate this approach. Equivalent dynamical analysis and realization of the memristor-based chaotic circuit are performed by using Chua＇s chaotic circuit. The results indicate that the outputs of memristor-based chaotic circuit and the corresponding outputs of Chua＇s chaotic circuit have identical dynamics. The proposed approach verified by numerical simulations and experimental observations is useful in designing and analyzing memristor-based dynamical circuits.
ISSN:	1674-1056 2058-3834