A Magnetic Coupling Based Strategy for Synchronization of a System Consisting of Chaotic Modified Van der Pol Duffing Oscillators | Zendy

L. K. Kana | Zendy; Anaclet Fomethe | Zendy; Hilaire Bertrand Fotsin | Zendy; Patrick Louodop | Zendy

Open Access

A Magnetic Coupling Based Strategy for Synchronization of a System Consisting of Chaotic Modified Van der Pol Duffing Oscillators

Author(s) -

L. K. Kana,

Anaclet Fomethe,

Hilaire Bertrand Fotsin,

Patrick Louodop

Publication year - 2014

Publication title -

journal of nonlinear dynamics

Language(s) - English

Resource type - Journals

eISSN - 2356-7503

pISSN - 2314-6893

DOI - 10.1155/2014/635925

Subject(s) - van der pol oscillator , synchronization (alternating current) , control theory (sociology) , lyapunov stability , coupling (piping) , chaotic , electronic circuit , stability (learning theory) , controller (irrigation) , magnetic field , computer science , synchronization of chaos , physics , topology (electrical circuits) , engineering , nonlinear system , control (management) , quantum mechanics , electrical engineering , mechanical engineering , agronomy , artificial intelligence , machine learning , biology

We propose a new paradigm for the synchronization of two unconnected magnetic core coils based modified Van der Pol Duffing (MVDPD) oscillators circuits. The method is such that only magnetic field based coupling is sufficient to drive two identical chaotic circuits to a synchronized state as well as achieving the global stabilization of the system to its regular dynamics. The dynamics of the coupled system is investigated and Lyapunov stability theory is applied to prove that under someconditions the drive-response system can achieve practical synchronization. Numerical and PSpice simulations are given to demonstrate the effectiveness of the controller

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