Enhanced Symplectic Synchronization between Two Different Complex Chaotic Systems with Uncertain Parameters

An enhanced symplectic synchronization of complex chaotic systems with uncertain parameters is studied. The traditional chaos synchronizations are special cases of the enhanced symplectic synchronization. A sufficient condition is given for the asymptotical stability of the null solution of error dy...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.433-444-147
Main Author: Yang, Cheng-Hsiung
Format: Article
Language:English
Subjects:
Asymptotic properties
Chaos theory
Dynamical systems
Dynamics
Error analysis (Mathematics)
Mathematical analysis
Mathematical models
Mathematical research
Studies
Synchronism
Synchronization
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Summary:An enhanced symplectic synchronization of complex chaotic systems with uncertain parameters is studied. The traditional chaos synchronizations are special cases of the enhanced symplectic synchronization. A sufficient condition is given for the asymptotical stability of the null solution of error dynamics. The enhanced symplectic synchronization may be applied to the design of secure communication. Finally, numerical simulations results are performed to verify and illustrate the analytical results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/193138