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IDENTICAL SYNCHRONIZATION OF CHAOTIC SYSTEMS

International Journal of Bifurcation and Chaos, 2006
We consider the problem of identical synchronization (IS) of chaotic systems in two cases: (i) system uncertainty exists in the drive system, and (ii) output uncertainty exists in the drive system. No matter which case it is, the IS problem can be resolved via the combination of unknown input observers (UIOs) and the linear matrix inequalities (LMIs).
Maoyin Chen, Dong-Hua Zhou, Yun Shang
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Synchronization of regular and chaotic systems

Physical Review A, 1992
We investigate the synchronization between two systems consisting of coupled circle maps that have a common drive, which may be chaotic or regular. We observe several new aspects of chaotic and regular synchronization. In the chaotic regime the transition from synchronization to nonsynchronization corresponds to the transition from one to two positive ...
, de Sousa Vieira M   +2 more
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Synchronization of chaotic systems by feedback

Communications in Nonlinear Science and Numerical Simulation, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Xiping, Ruan, Jiong, Li, Lijuan
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Synchronization and Lag Synchronization of Chaotic Networks

2009
In this paper, we investigates synchronization dynamics of hyperchaotic neural networks by using proper nonlinear feedback controllers. Globally exponential lag synchronization (GELS) include globally exponential synchronization (GES) are studied. We obtain the Lyapunov stability criteria for the globally exponential lag synchronization.
Zunshui Cheng   +3 more
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Phase Synchronization of Chaotic Oscillators

Physical Review Letters, 1996
We present the new effect of phase synchronization of weakly coupled self-sustained chaotic oscillators. To characterize this phenomenon, we use the analytic signal approach based on the Hilbert transform and partial Poincar\'e maps. For coupled R\"ossler attractors, in the synchronous regime the phases are locked, while the amplitudes vary chaotically
, Rosenblum, , Pikovsky, , Kurths
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Experimental synchronization of chaotic lasers

Physical Review Letters, 1994
We report the observation of synchronization of the chaotic intensity fluctuations of two Nd:YAG lasers when one or both the lasers are driven chaotic by periodic modulation of their pump beams.
, Roy, , Thornburg
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On global synchronization of chaotic systems

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
The authors consider the problem of global complete synchronization of coupled ordinary differential equations. If \(x\in \mathbb R^n\) and \(y\in \mathbb R^n\) are dynamical variables of two systems, then the global synchronization means \(| x(t)-y(t)| \to 0\) as \(t\to\infty\) for all initial conditions.
Xiaoxin Liao, Guanrong Chen, Hua O. Wang
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Noise and synchronization in chaotic systems

Physical Review E, 1996
We investigate the behavior of several noisy nonlinear dynamical models in order to find out whether the presence of a common noise term may synchronize identical chaotic systems as recently supposed [S. Fahy and D. R. Hamann, Phys. Rev. Lett. 69, 761 (1993); A. Maritan and J. R. Banavar, ibid. 72, 1451 (1994)].
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On the synchronization of the unified chaotic systems

10th International Conference on Information Science, Signal Processing and their Applications (ISSPA 2010), 2010
This paper deals with the synchronization of the unified chaotic systems. An observer-based controller is proposed to synchronize two identical unified chaotic systems. Simulations results are presented to illustrate the proposed control scheme.
Mohamed Fahim Hassan, Mohamed Zribi
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Synchronization of chaotic mode hopping

Optics Letters, 2000
We propose and demonstrate a scheme for generating synchronized chaotic mode hopping in two wavelength-tunable lasers whose tuning range covers multiple longitudinal modes. Chaotic mode hopping resulting in large hops in wavelength is induced by delayed electrical feedback. We show that, by coupling part of the output of one laser into another, one can
Y, Liu, P, Davis
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