Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

doi:10.1088/1674-1056/20/12/120502

Abstract In this paper, a practical equivalent circuit of an active flux-controlled memristor characterized by smooth piecewise-quadratic nonlinearity is designed and an experimental chaotic memristive circuit is implemented. The chaotic memristive circuit has an equilibrium set and its stability is dependent on the initial state of the memristor. The initial state-dependent and the circuit parameter-dependent dynamics of the chaotic memristive circuit are investigated via phase portraits, bifurcation diagrams and Lyapunov exponents. Both experimental and simulation results validate the proposed equivalent circuit realization of the active flux-controlled memristor.

Keywords: chaos dynamics equivalent circuit memristor

Received: 08 June 2011
Revised: 28 June 2011
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Fund: Project supported by the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2009105).

Cite this article:

Bao Bo-Cheng(包伯成), Xu Jian-Ping(许建平), Zhou Guo-Hua(周国华), Ma Zheng-Hua(马正华), and Zou Ling(邹凌) Chaotic memristive circuit: equivalent circuit realization and dynamical analysis 2011 Chin. Phys. B 20 120502

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