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Targeting of Kolmogorov--Arnold--Moser Orbits by the Bailout Embedding Method in Two Coupled Standard Maps |
ZHANG Shan1;YANG Shi-Ping2;LIU Hu1 |
1Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043
2College of Physics, Hebei Normal University, Shijiazhuang 050016 |
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Cite this article: |
ZHANG Shan, YANG Shi-Ping, LIU Hu 2006 Chin. Phys. Lett. 23 1114-1117 |
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Abstract A bailout embedding method for controlling chaos can make the chaotic orbits targeting into Kolmogorov--Arnold--Moser orbits. We apply this method to a high-dimensional system with two coupled standard maps. The numerical simulation shows that this method could obtain target islands in order and hence could be used to control chaos. Moreover, it is robust in the presence of weak external noise.
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Keywords:
05.45.-a
05.45.Gg
05.45.Jn
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Published: 01 May 2006
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PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Jn
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(High-dimensional chaos)
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