Synchronization of Rossler and Chen chaotic dynamical systems using active control

By H. Agiza, M. Yassen. Physics Letters, 2001

453 citations recorded by the source corpus.

Abstract This Letter presents chaos synchronization of two identical Rossler and Chen systems by using active control. The proposed technique is applied to achieve chaos synchronization for the Rossler and Chen dynamical systems. We demonstrate that a coupled Rossler and Chen systems can be synchronized. Numerical simulations are used to show the effectiveness of the proposed control method.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4ce8bd00c0e34b5f7828598c3763a6d9bc964f48

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In Computer Networks and Communications

In Statistical and Nonlinear Physics

Citations in the corpus

Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities (2014, methodology): “Since the discovery of chaos synchronization, different approaches have been proposed to achieve it, such as PC method [10], active control method [24, 25, 26, 27], adaptive control method [28, 29, 30, 31], backstepping control method [32, 33, 34, 35, 36, 37], sliding mode control method [38, 39, 40”
Chaos synchronization between linearly coupled chaotic systems (2002, background): “Recently, synchronization of coupled chaotic systems has received considerable attention [1,2,5,7].”
Chaos Synchronization of a New Chaotic System via Nonlinear Control (2007, methodology): “Many techniques for chaos control and synchronization have been developed, such as linear feedback method, active control approach, adaptive technique, time-delay feedback approach, and back steeping method [2-8].”
Synchronization of Genesio chaotic system via backstepping approach (2006, background): “Since the discovery of chaos synchronization by Pecora and Carroll [1], there have been tremendous interests in studying the synchronization of various chaotic systems, see the papers [2–20] and the references therein.”