Chaos Synchronization in Lorenz System

Ayub Khan¹, Prempal Singh²

¹Department of Mathematics, Zakir Husain College, University of Delhi, Delhi, India.
²Department of Mathematics, Faculty of Mathematical Science, University of Delhi, Delhi, India.

DOI: 10.4236/am.2015.611164                

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.

Keywords

Dynamical Systems, Chaos Synchronization, Lyapunov Function, Positive Definite Polynomials

Conflicts of Interest

The authors declare no conflicts of interest.

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