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Chaos Synchronization in Lorenz System

DOI: 10.4236/am.2015.611164, PP. 1864-1872

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

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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.

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