Conditions to Control Chaotic Dynamics by Weak Periodic Perturbation

Rue Ron Hsu; Han Tzong Su; Jyh Long Chern; Chia Chu Chen

doi:10.1103/PhysRevLett.78.2936

Conditions to Control Chaotic Dynamics by Weak Periodic Perturbation

Rue Ron Hsu, Han Tzong Su, Jyh Long Chern, Chia Chu Chen

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We address the interplay among the intrinsic dynamic structure of chaos, external weak periodic perturbation, and noise. The periodicity and the stability condition of the chaos controlled by a weak periodic perturbation are determined. The results explain why controlling chaos works in the Braiman and Goldhirsch method, and the conditions for the targeted state to be successfully created are presented. The stochastic response of the system when contaminated with a dynamic noise is also derived.

Original language	English
Pages (from-to)	2936-2939
Number of pages	4
Journal	Physical review letters
Volume	78
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.78.2936
Publication status	Published - 1997 Apr 14

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.78.2936

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Conditions to Control Chaotic Dynamics by Weak Periodic Perturbation

Abstract

All Science Journal Classification (ASJC) codes

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