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Your search keyword '"CHEN, HSIEN-KENG"' showing total 2 results
Start Over Author "CHEN, HSIEN-KENG" Topic attractors (mathematics)
2 results on '"CHEN, HSIEN-KENG"'

1. SYNCHRONIZATION OF MULTIPLE CHAOTIC SYSTEMS COUPLED IN A RING STRUCTURE.

Author

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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2. Anti-control of chaos in rigid body motion

Author

Chen, Hsien-Keng and Lee, Ching-I

Subjects
*FEEDBACK control systems, *SYMMETRY, *ATTRACTORS (Mathematics), *DIFFERENTIABLE dynamical systems
Abstract

Anti-control of chaos for a rigid body has been studied in the paper. For certain feedback gains, a rigid body can easily generate chaotic motion. Basic dynamical behaviors, such as symmetry, invariance, dissipativity and existence of attractor, are also discussed. The transient behaviors of the chaotic system have also been presented as the feedback gain changed. Of particular interesting is the fact that the chaotic system can generate a complex multi-scroll chaotic attractor under the appropriate feedback gains. Finally, it was shown that the system could be related to the famous Lorenz equations and Chen system. In other words, the system can easily display all the dynamical behaviors of the famous Lorenz equations and Chen system. [Copyright &y& Elsevier]

Published
2004
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