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 journalArticlepeer-review

23 Citations (Scopus)


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 languageEnglish
Pages (from-to)2936-2939
Number of pages4
JournalPhysical review letters
Issue number15
Publication statusPublished - 1997 Apr 14

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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