<article_id>jmat.6.4.13862</article_id>
<article_title>Synchronization of Two Identical Circular Restricted Three Body Problem using a Robust Adaptive Sliding Mode Controller with Application to Secure Communications</article_title>
<author>Mohammad Shahzad</author>
<author>Mohammed Raziuddin</author>
<author>Ahmed Mohiuddin Mohammed</author>
<journal_title>Journal on Mathematics</journal_title>
<issn>2277-5137</issn>
<volume>5</volume>
<issue>4</issue>
<first_page>19</first_page>
<last_page>28</last_page>
<doi>10.26634/jmat.6.4.13862</doi>
<keywords>CRTBP, Synchronization, RASMC</keywords>
<abstract>In this paper, the authors have synchronized the two identical systems of Circular Restricted Three Body Problem evolving from different initial conditions using a Robust Adaptive Sliding Mode Controller. The two chaotic identical systems have been synchronized under the effects of uncertainties and external disturbances with unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are implemented to tackle the uncertainties, external disturbances, and unknown parameters. For the synchronization of the two identical systems under consideration, all simulations are being done using Mathematica. Furthermore, the secure communication scheme has also been demonstrated.</abstract>
<publication_date>October - December 2017</publication_date>
<copyright>Copyright &copy; 2017 i-manager publications. All rights reserved.</copyright>
<publisher>i-manager Publications</publisher>
<article_url>http://www.imanagerpublications.com/Article.aspx?ArticleId=13862</article_url>