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
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
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.
ZHANG Shan;YANG Shi-Ping;LIU Hu. Targeting of Kolmogorov--Arnold--Moser Orbits by the Bailout Embedding Method in Two Coupled Standard Maps[J]. 中国物理快报, 2006, 23(5): 1114-1117.
ZHANG Shan, YANG Shi-Ping, LIU Hu. Targeting of Kolmogorov--Arnold--Moser Orbits by the Bailout Embedding Method in Two Coupled Standard Maps. Chin. Phys. Lett., 2006, 23(5): 1114-1117.
2006, Vol. 23 
