Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit

A. M.A. El-Sayed; A. Elsaid; H. M. Nour; A. Elsonbaty

doi:10.1016/j.cnsns.2012.06.011

Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit

A. M.A. El-Sayed, A. Elsaid, H. M. Nour, A. Elsonbaty

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

This paper is devoted to study the dynamical behavior of a modified Autonomous Van der Pol-Duffing (ADVP) circuit when its nonlinear element is replaced by a flux controlled memristor. The bifurcation diagrams, Lyapunov exponents, and phase portraits of the state variables are presented. Then, the chaos which appears at certain values of the system's parameters is controlled using linear feedback control. Finally, the synchronization between two chaotic modified ADVP circuits is achieved in the case of fully unknown parameters of the system using adaptive synchronization.

Original language	English
Pages (from-to)	148-170
Number of pages	23
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	18
Issue number	1
DOIs	https://doi.org/10.1016/j.cnsns.2012.06.011
State	Published - Jan 2013
Externally published	Yes

Keywords

Adaptive synchronization
ADVP
Chaos control
Memristor

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10.1016/j.cnsns.2012.06.011

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keywords = "Adaptive synchronization, ADVP, Chaos control, Memristor",

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AB - This paper is devoted to study the dynamical behavior of a modified Autonomous Van der Pol-Duffing (ADVP) circuit when its nonlinear element is replaced by a flux controlled memristor. The bifurcation diagrams, Lyapunov exponents, and phase portraits of the state variables are presented. Then, the chaos which appears at certain values of the system's parameters is controlled using linear feedback control. Finally, the synchronization between two chaotic modified ADVP circuits is achieved in the case of fully unknown parameters of the system using adaptive synchronization.

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KW - ADVP

KW - Chaos control

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Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit

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Keywords

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