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Phys. Rev. E 64, 016201 (2001) [10 pages]

Controlling dissipative and Hamiltonian chaos by a constant periodic pulse method

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Haibo Xu1,2,*, Guangrui Wang2, and Shigang Chen2
1Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, People’s Republic of China
2Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009-28, Beijing 100088, People’s Republic of China

Received 17 July 2000; revised 1 March 2001; published 12 June 2001

A constant periodic pulse method is proposed to control dissipative and Hamiltonian chaos. Using the convergence of the chaotic orbit in finite time, the stable segment of the chaotic orbit that satisfies the desired dynamical features can be made to form a closed orbit by the action of a proper perturbation on the system variables. A way to determine the intensity of the perturbation and the corresponding fixed points is presented. The method is robust against the presence of external noise.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.016201
DOI:
10.1103/PhysRevE.64.016201
PACS:
05.45.-a

*Email address: haiboxu65@hotmail.com