<article_id>JMAT_V3_N2_RP2</article_id>
<title>Synchronization of Circular Restricted Three Body Problem with Liu Hyper Chaotic System using a Robust Adaptive Sliding Mode Controller</title>
<author>Ayub Khan</author>
<author>Mohammad Shahzad</author>
<journal>Journal on Mathematics</journal>
<issn>2277-5137</issn>
<volume>3</volume>
<issue>2</issue>
<first_page>22</first_page>
<last_page>29</last_page>
<keywords>CRTBP, LHCS, RASMC, Synchronization</keywords>
<abstract>In this computational study, the authors synchronize the Circular Restricted Three Body Problem (CRTBP) with Liu Hyper Chaotic System (LHCS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the proposed technique for the two non-identical systems under consideration are being done using Mathematica.</abstract>
<date>April - June 2014</date>
<copyright>Copyright &copy; 2014 i-manager publications. All rights reserved.</copyright>
<publisher>i-manager Publications</publisher>
<article_url>http://www.imanagerpublications.com/Article.aspx?ArticleId=3002</article_url>