Computational Study of Synchronization and Anti-Synchronization In Mimas-Tethys System

Ayub Khan*, 0**
* Associate Professor, Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi, India.
** Assistant Professor, Department of General Requirements, College of Applied Sciences, Nizwa, Oman.
Periodicity:April - June'2012
DOI : https://doi.org/10.26634/jmat.1.2.1849

Abstract

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.

Keywords

Synchronization; Anti-synchronization (AS); Active control.

How to Cite this Article?

Khan, A., and Shahzad, M. (2012). Computational Study of Synchronization and Anti-Synchronization in Mimas-Tethys System. i-manager’s Journal on Mathematics, 1(2), 26-33. https://doi.org/10.26634/jmat.1.2.1849

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