Control of a Hyperchaotic Discrete System

CHEN Li-qun; LIU Zeng-rong

Volume 22 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(7): 661-665

CHEN Li-qun, LIU Zeng-rong. Control of a Hyperchaotic Discrete System[J]. Applied Mathematics and Mechanics, 2001, 22(7): 661-665.

Citation:

CHEN Li-qun, LIU Zeng-rong. Control of a Hyperchaotic Discrete System[J]. Applied Mathematics and Mechanics, 2001, 22(7): 661-665.

Citation:

CHEN Li-qun, LIU Zeng-rong. Control of a Hyperchaotic Discrete System[J]. Applied Mathematics and Mechanics, 2001, 22(7): 661-665.

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Control of a Hyperchaotic Discrete System

CHEN Li-qun¹,
LIU Zeng-rong²

1.
Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2.
Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

Received Date: 2000-03-03
Rev Recd Date: 2001-03-08
Publish Date: 2001-07-15

Abstract

Abstract

The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.
- controlling chaos,
- hyperchaotic map,
- Liapunov direct method,
- stabilization,
- tracking

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References(7)

References

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