Controlling Hyperchaos in Planar Systems by Adjusting Parameters

YANG ling; LIU Zeng-rong; MAO Jian-min

Volume 24 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(4): 351-356

Wang Biao, Wang Dian-fu, Wang Duo. Elastic Media with Randomly Distributed Defects[J]. Applied Mathematics and Mechanics, 1989, 10(11): 997-1008.

Citation:

YANG ling, LIU Zeng-rong, MAO Jian-min. Controlling Hyperchaos in Planar Systems by Adjusting Parameters[J]. Applied Mathematics and Mechanics, 2003, 24(4): 351-356.

Wang Biao, Wang Dian-fu, Wang Duo. Elastic Media with Randomly Distributed Defects[J]. Applied Mathematics and Mechanics, 1989, 10(11): 997-1008.

Citation:

YANG ling, LIU Zeng-rong, MAO Jian-min. Controlling Hyperchaos in Planar Systems by Adjusting Parameters[J]. Applied Mathematics and Mechanics, 2003, 24(4): 351-356.

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Controlling Hyperchaos in Planar Systems by Adjusting Parameters

1.
Department of Mathematics, Suzhmi University, Suzhou 215006, P. R. China;
2.
Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
3.
Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, P.R. China

Received Date: 2001-09-25
Rev Recd Date: 2002-11-29
Publish Date: 2003-04-15

Abstract

Abstract

For the two-parameter family of planar mapping, a method to stabilize an unstable fixed point without stable manifold embedding in hypetvhaos is introduced. It works by acjjusting the two parameters in each iteration of the map. The explicit expressions for the parameter a}ustments are derived,and strict proof of convergence for method is given.
- control of chaos,
- hyperchaotic orbits,
- parameter adjustment

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References(13)

References

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