Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

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

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120502-120502.doi: 10.1088/1674-1056/20/12/120502

Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

许建平¹, 周国华¹, 包伯成², 马正华², 邹凌²

(1)School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China; (2)School of Information Science and Engineering, Changzhou University, Changzhou 213164, China

收稿日期:2011-06-08 修回日期:2011-06-28 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2009105).

Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

Bao Bo-Cheng(包伯成)^a)†, Xu Jian-Ping(许建平)^b), Zhou Guo-Hua(周国华)^b), Ma Zheng-Hua(马正华)^a), and Zou Ling(邹凌)^a)

^a School of Information Science and Engineering, Changzhou University, Changzhou 213164, China; ^b School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China

Received:2011-06-08 Revised:2011-06-28 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2009105).

摘要/Abstract

摘要： 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.

关键词: chaos, dynamics, equivalent circuit, memristor

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.

Key words: chaos, dynamics, equivalent circuit, memristor

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

包伯成, 许建平, 周国华, 马正华, 邹凌. Chaotic memristive circuit: equivalent circuit realization and dynamical analysis[J]. 中国物理B, 2011, 20(12): 120502-120502.

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[J]. Chin. Phys. B, 2011, 20(12): 120502-120502.

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Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

Chaotic memristive circuit: equivalent circuit realization and dynamical analysis

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