Numerical Study of Synchronization & Anti-Synchronization In Mimas-Tethys System

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : Numerical Study of Synchronization & Anti-Synchronization In Mimas-Tethys System 

Author Name  : Ayub Khan, Mohammad Shahzad 

Synopsis  : 

In this paper, we have investigated the synchronization and anti-synchronization behaviour of two identical dynamical model of mimas-tethys system (Moons of Saturn) 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.