TITLE:
Chaos Synchronization in Lorenz System
AUTHORS:
Ayub Khan, Prempal Singh
KEYWORDS:
Dynamical Systems, Chaos Synchronization, Lyapunov Function, Positive Definite Polynomials
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.11,
October
22,
2015
ABSTRACT: 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.