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Zbl 1152.37314
Ge, Zheng-Ming; Yang, Cheng-Hsiung
Synchronization of complex chaotic systems in series expansion form.
(English)
[J] Chaos Solitons Fractals 34, No. 5, 1649-1658 (2007). ISSN 0960-0779

Summary: This paper studies the synchronization of complex chaotic systems in series expansion form by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of an error dynamics, and is applied to guiding the design of the secure communication. Finally, numerical results are studied for the Quantum-CNN oscillators synchronizing with unidirectional/bidirectional linear coupling to show the effectiveness of the proposed synchronization strategy.
MSC 2000:
*37D45 Strange attractors, chaotic dynamics
93D15 Stabilization of systems by feedback
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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