A Magnetic Coupling Based Strategy for Synchronization of a System Consisting of Chaotic Modified Van der Pol Duffing Oscillators. (25th December 2014)

• Record Type: Journal Article
• Authors: Kana, L. K.; Fomethe, A.; Fotsin, H. B.; Fotso, P. H. Louodop
• Other Names: Runolfsson Thordur Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2014(2014)
• Publication Date: 2014-12-25
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2014/635925
• Languages: English
• ISSNs: 2356-7503

Abstract

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.