Chaotic memristive circuit： equivalent circuit realization and dynamical analysis

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 dependen...

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Published inChinese physics B Vol. 20; no. 12; pp. 109 - 115
Main Author 包伯成 许建平 周国华 马正华 邹凌
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Chaos theory
Circuits
Dynamic tests
Equivalent circuits
Lyapunov exponents
Lyapunov指数
Memory devices
Resistors
Simulation
Stability
二次非线性
初始状态
动力学分析
参数依赖性
混沌
磁通控制
等效电路
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/20/12/120502

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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.
AbstractList 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.
Author 包伯成 许建平 周国华 马正华 邹凌
AuthorAffiliation School of Information Science and Engineering, Changzhou University, Changzhou 213164, China School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
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Notes chaos, dynamics, equivalent circuit, memristor
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.
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Snippet In this paper, a practical equivalent circuit of an active flux-controlled memristor characterized by smooth piecewise-quadratic nonlinearity is designed and...
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SubjectTerms Chaos theory
Circuits
Dynamic tests
Equivalent circuits
Lyapunov exponents
Lyapunov指数
Memory devices
Resistors
Simulation
Stability
二次非线性
初始状态
动力学分析
参数依赖性
混沌
磁通控制
等效电路
Title Chaotic memristive circuit： equivalent circuit realization and dynamical analysis
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