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

Cite this:
RIMPI PAL, A. K. (2013). COMPLETE SYNCHRONIZATION, ANTI-SYNCHRONIZATION AND HYBRID SYNCHRONIZATION OF TWO IDENTICAL PARABOLIC RESTRICTED THREE BODY PROBLEM. Asian Journal of Current Engineering and Maths, 2(2). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/159
© 2022 Interactive Protocols
RIGHTS & PERMISSIONS
Article Views
129
Altmetric
1
Citations
-
LEARN ABOUT THESE METRICS
   PDF  

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.

KEYWORDS:

 Special Issue

Article Metrics Graph

Chart Graph | Range Graph

Content

Section

Source

License

COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY

 

All paper submissions must carry the following duly signed by all the authors:

“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.”