Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 1, Pages 148-170Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2012.06.011
Keywords
Memristor; ADVP; Chaos control; Adaptive synchronization
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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. (c) 2012 Elsevier B.V. All rights reserved.
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