2015
DOI: 10.4236/am.2015.611164
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Chaos Synchronization in Lorenz System

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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Cited by 4 publications
(2 citation statements)
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“…An important problem in chaos stabilization is how to design a controller to stabilize the chaotic system. In fact, there is a wide variety of control methods to approach stabilization or synchronization of chaotic systems, including sliding model control [6] [7], adaptive control [8] [9] [10] [11] [12], optimal control [13] [14] and feedback control [15] [16] [17] and other control methods [18] [19] [20].…”
Section: Introductionmentioning
confidence: 99%
“…An important problem in chaos stabilization is how to design a controller to stabilize the chaotic system. In fact, there is a wide variety of control methods to approach stabilization or synchronization of chaotic systems, including sliding model control [6] [7], adaptive control [8] [9] [10] [11] [12], optimal control [13] [14] and feedback control [15] [16] [17] and other control methods [18] [19] [20].…”
Section: Introductionmentioning
confidence: 99%
“…Since the pioneering work of Pecora and Carroll in 1990s, on the synchronization of chaotic systems, synchronization phenomenon has formed a new body of research activities which is at the fore front of recent application topic in nonlinear dynamics [1][2][3][4][5][6], and opens the way for chaotic systems synchronization and a various techniques such as adaptive control, active control, nonlinear control, sliding mod control, back-stepping design method and so on have been successfully applied to chaos control and synchronization [7][8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%