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Chaotic synchronization of labyrinth systems
49th IEEE Conference on Decision and Control (CDC), 2010This paper focuses on master-slave synchronization for two identical chaotic labyrinth systems with different initial conditions by using time-delay feedback control. By employing the differential mean value theorem to deal with the nonlinear term of the error system, the error system is modeled as a polytopic system.
Ke Ding, Qing-Long Han
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Enhancing synchronism of chaotic systems
Physical Review E, 1994Recent work has considered the situation where a state variable (or variables) of a chaotically evolving system is used as an input to a replica of part of the original system. It was found that the replica subsystem often synchronizes to the chaotic evolution of the original system, and it has been suggested that this phenomenon may be used for secure
, Ding, , Ott
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Synchronization of chaotic Liouvillian systems
2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, 2011In this paper we deal with the synchronization of the Chua oscillator, which is considered as a chaotic Liouvillian system. The synchronization problem is treated as an observation problem. The results of this work are based on a differential algebraic approach, which are used in order to determine observability with the measurements from the system ...
Dulce M. G. Corona-Fortunio +2 more
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Synchronization of Chaotic Neuronal Oscillators
Chaos, Solitons & Fractals, 1998The paper deals with noise-induced synchronization of chaotic neurotic maps with different initiations. Noise can be important for stochastic resonance to enhance the signal detection sensitivity in a chaotic neural network and can even lead to a complete synchronization of uncoupled maps. The stability of the noise-induced synchronization in a network
Chen, Hua, Gong, Xiaofeng, Li, Fuli
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SYNCHRONIZATION THEOREM FOR A CHAOTIC SYSTEM
International Journal of Bifurcation and Chaos, 1995Since Pecora & Carroll [Pecora & Carroll, 1991; Carroll & Pecora, 1991] have shown that it is possible to synchronize chaotic systems by means of a drive-response partition of the systems, various authors have proposed synchronization schemes and possible secure communications applications [Dedieu et al., 1993, Oppenheim et al., 1992].
Schweizer, J. +3 more
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Chaotic Synchronization for Scene Segmentation
International Journal of Modern Physics B, 2003In this work, we analyze the synchronization role in a 1D array of coupled continuous chaotic elements. The ordinary differential equations, which represent each chaotic element, have a stable linear part perturbed by a bounded nonlinear function. A theorem is established to give sufficient condition to obtain synchronization of the array.
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Phase Synchronization of Chaotic Rotators
Physical Review Letters, 2002We demonstrate the existence of phase synchronization of two chaotic rotators. Contrary to phase synchronization of chaotic oscillators, here the Lyapunov exponents corresponding to both phases remain positive even in the synchronous regime. Such frequency locked dynamics with different ratios of frequencies are studied for driven continuous-time ...
Grigory V, Osipov +2 more
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Transforming signals with chaotic synchronization
Physical Review E, 1996We introduce a general technique to alter the properties of chaotic signals used with coupled chaotic systems. The changes we introduce allow one to vary the synchronization properties of synchronized chaotic circuits, synchronize chaotic systems that do not otherwise synchronize, vary the spectral properties of chaotic signals, and produce a variety ...
, Carroll, , Heagy, , Pecora
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CHAOTIC SYNCHRONIZATION: INFORMATION VIEWPOINT
International Journal of Bifurcation and Chaos, 2000The phenomenon of chaotic synchronization is investigated from an information viewpoint. The synchronization of a "receiver" of chaos with a chaotic "source" is discussed as an ability of the receiver to recover a copy of the chaotic signal generated by the source.
Alexander S. Dmitriev +2 more
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Impulsive synchronization for a chaotic system
2010 Sixth International Conference on Natural Computation, 2010This paper discusses the synchronization of the chaotic system. Based on the theory of impulsive differential equations, some new and less conservative sufficient conditions are established. In particular, some simple criteria are established by choosing equal impulsive distances and control gains.
Guangmin Liu, Wei Ding
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