COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF TWO IDENTICAL PARABOLIC RESTRICTED THREE BODY PROBLEM

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Published Oct 10, 2013
AYUB KHAN, RIMPI PAL

Abstract

In this paper , we have investigated complete synchronization, anti-synchronization and all possible cases of hybrid synchronization of two identical non-linear dynamical systems of a parabolic restricted three body problem evolving from different initial conditions using the Active Control Technique based on Lyapunov Stability theory and the Routh-Hurwitz criterion. These cases lead to establishing that the synchronization behavior of the two identical parabolic restricted three body problem depends only on the synchronization behavior of the state variable 'z', which gives the position of the negligible third body mass. Finally, numerical simulations are performed to plot phase portraits, time series analysis graphs of the master system and the slave system which further illustrate the effectiveness of the proposed control techniques.

How to Cite

COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF TWO IDENTICAL PARABOLIC RESTRICTED THREE BODY PROBLEM. (2013). Asian Journal of Current Engineering and Maths, 2(2). https://informaciontechnologica.com/index.php/ajcem/article/view/159
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Vol 2 No 2 (2013): ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS
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Articles

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How to Cite

COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF TWO IDENTICAL PARABOLIC RESTRICTED THREE BODY PROBLEM. (2013). Asian Journal of Current Engineering and Maths, 2(2). https://informaciontechnologica.com/index.php/ajcem/article/view/159