Controlling the standard map

Zonghua Liu; Shigang Chen

doi:10.1016/S0375-9601(97)00343-5

Controlling the standard map

Zonghua Liu^*
, Shigang Chen

^*此作品的通讯作者

China Center of Advanced Science and Technology World Laboratory
China Academy of Engineering Physics
Guangxi University
IAPCM

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this work a recently introduced chaos suppression method [M.A. Matías and J. Güémez, Phys. Rev. Lett. 72 (1994) 1455] through proportional perturbations in the system variables is extended to conservative maps. Four kinds of periodic pulses added are discussed. The performance of the method is shown by application to the two-dimensional standard map. The periodic windows controlled by periodic pulses are stable in the presence of weak external noise.

源语言	英语
页（从-至）	55-62
页数	8
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	232
期	1-2
DOI	https://doi.org/10.1016/S0375-9601(97)00343-5
出版状态	已出版 - 21 7月 1997
已对外发布	是

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AB - In this work a recently introduced chaos suppression method [M.A. Matías and J. Güémez, Phys. Rev. Lett. 72 (1994) 1455] through proportional perturbations in the system variables is extended to conservative maps. Four kinds of periodic pulses added are discussed. The performance of the method is shown by application to the two-dimensional standard map. The periodic windows controlled by periodic pulses are stable in the presence of weak external noise.

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Controlling the standard map

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