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

doi:10.1088/1674-1056/23/7/070503

Abstract 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.

Keywords: dynamics mapping equivalent approach memristor nonlinear circuit

Received: 12 November 2013
Revised: 24 December 2013
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Tp	(Time series analysis)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51277017) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012583).

Corresponding Authors: Bao Bo-Cheng
E-mail: mervinbao@126.com

About author: 05.45.-a; 05.45.Tp

Cite this article:

Bao Bo-Cheng (包伯成), Hu Feng-Wei (胡丰伟), Liu Zhong (刘中), Xu Jian-Ping (许建平) Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit 2014 Chin. Phys. B 23 070503

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

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