Synchronization Behaviour of the Rotational Dynamics of Enceladus Via Active Control

Abstract

In this paper, we have investigated the synchronization behaviour of rotational dynamics of enceladus (natural satellite of Saturn) that has fixed elliptical orbit with spin axis perpendicular to the orbit plane with another identical dynamical system evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics, are found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization between the states variables of two dynamical systems under consideration. Numerical simulations are presented to illustrate the effectiveness of the proposed control techniques using mathematica.
Key words: Chaos; Synchronization; Enceladus