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.
Highlights
In 1990, the problems of chaos control [1] and synchronization [2] emerged as two exciting topics in nonlinear science with promising applications
Chaos synchronization is closely related to the observer problem in control theory and recent studies deal with the synchronization problem based on control theory approach
We propose a new approach of synchronization in chaotic circuits coupled by magnetic field
Summary
In 1990, the problems of chaos control [1] and synchronization [2] emerged as two exciting topics in nonlinear science with promising applications. Designing simple and available control inputs that can achieve global and stable synchronization of coupled oscillators is generally significant and of practical interest in view of the foreseen applications of chaos synchronization in circuits and lasers. This is an open challenge that has remained unresolved. We propose a new approach of synchronization in chaotic circuits coupled by magnetic field. The tunable magnetic core coils have a major role in the current situation where compact designs with high performance are demanded They are the basic elements of radio frequency that enable the batch fabrication of miniature mechanic structures, devices, and systems for microwave and wireless communication application.
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