• SYNCHRONIZATION & ANTI-SYNCHRONIZATION OF CHARGED PARTICLE IN THE FIELD OF THREE PLANE WAVES VIA ACTIVE CONTROL

Abstract

In this paper, we have investigated the synchronization and anti-synchronization behaviour of two identical dynamical model of charge particle in the field of three plane waves evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, are found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and anti-synchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using mathematica.