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Computational Study Of Synchronization And Anti-Synchronization In Mimas-Tethys System

Ayub Khan

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Source: Crossref

Published: Jan 1, 2012

DOI: 10.26634/jmat.1.2.1849

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Source abstract

In this paper, the authors 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.

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