Table of Contents
Journal of Nonlinear Dynamics
Volume 2014, Article ID 635925, 9 pages
http://dx.doi.org/10.1155/2014/635925
Research Article

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

1Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
2Laboratory of Mechanics and Modeling of Physical Systems, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

Received 12 July 2014; Accepted 26 November 2014; Published 28 December 2014

Academic Editor: Thordur Runolfsson

Copyright © 2014 L. K. Kana et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 some conditions the drive-response system can achieve practical synchronization. Numerical and PSpice simulations are given to demonstrate the effectiveness of the controller.