%0 Journal Article %T Chaos Synchronization in Lorenz System %A Ayub Khan %A Prempal Singh %J Applied Mathematics %P 1864-1872 %@ 2152-7393 %D 2015 %I Scientific Research Publishing %R 10.4236/am.2015.611164 %X In this paper, we analyze chaotic dynamics of nonlinear systems and study chaos synchronization of Lorenz system. We extend our study by discussing other methods available in literature. We propose a theorem followed by a lemma in general and another one for a particular case of Lorenz system. Numerical simulations are given to verify the proposed theorems. %K Dynamical Systems %K Chaos Synchronization %K Lyapunov Function %K Positive Definite Polynomials %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60495