1. SYNCHRONIZATION OF MULTIPLE CHAOTIC SYSTEMS COUPLED IN A RING STRUCTURE.
- Author
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CHEN, HSIEN-KENG and LIN, TSUNG-NAN
- Subjects
- *
CHAOS theory , *SYNCHRONIZATION , *LYAPUNOV stability , *ATTRACTORS (Mathematics) , *COMPUTER simulation , *MATHEMATICAL models , *NUMERICAL analysis - Abstract
Synchronization of multiple identical chaotic systems, coupled in a ring structure, was studied in this paper. Ueda attractor was used as an example to perform the synchronization of several chaotic systems. The bound of the Ueda attractor was also estimated by numerical simulation. The above results were also adopted to design a controller to synchronize chaotic systems. The stability of the synchronization of multiple identical chaotic systems was investigated using Lyapunov's direct method. Some sufficient conditions of asymptotical synchronization were attained from rigorous mathematical theory. Further, numerical results were also demonstrated in order to validate the proposed synchronization approach. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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