Controlling the standard map

Zonghua Liu; Shigang Chen

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

Controlling the standard map

Zonghua Liu^*
, Shigang Chen

^*Corresponding author for this work

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

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

9 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	55-62
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	232
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(97)00343-5
State	Published - 21 Jul 1997
Externally published	Yes

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title = "Controlling the standard map",

abstract = "In this work a recently introduced chaos suppression method [M.A. Mat{\'i}as and J. G{\"u}{\'e}mez, 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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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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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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Controlling the standard map

Abstract

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