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Chaos Synchronization in Lorenz System
Department of Mathematics, Zakir Husain College, University of Delhi, Delhi, India
Department of Mathematics, Faculty of Mathematical Science, University of Delhi, Delhi, India
- 1 Department of Mathematics, Zakir Husain College, University of Delhi, Delhi, India
- 2 Department of Mathematics, Faculty of Mathematical Science, University of Delhi, Delhi, India
Applied Mathematics·Volume 06 (2015)·Pages 1864–1872·Published 16 October 2015·DOI10.4236/am.2015.611164
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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.
KeywordsDynamical SystemsChaos SynchronizationLyapunov FunctionPositive Definite Polynomials
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