JMAT_V1_N2_RP4 Ayub Khan Mohammad Shahzad Journal on Mathematics 2277-5137 1 2 26 33 Synchronization, Anti-synchronization (AS), Active Control 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. April - June 2012 Copyright © 2012 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=1849