Controlling Chaos and Bifurcation by a Delayed Nonlinear Feedback

Chin. Phys. Lett.

1996, Vol. 13

Issue (5): 333-336 DOI:

Original Articles

Controlling Chaos and Bifurcation by a Delayed Nonlinear Feedback

YANG Shi-ping;TIAN Gang;XU Shu-shan

Department of Physics, Hebei Teachers College, Shijiazhuang 050091

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YANG Shi-ping, TIAN Gang, XU Shu-shan 1996 Chin. Phys. Lett. 13 333-336

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Abstract A method for stabilizing unstable periodic orbits ( UPO) embedded in a chaotic attractor is presented. The conditions for controlling chaos and bifurcation through feeding back a delayed discrete variable are analyzed. The feedback procedure is applicable without knowing a priori the location and the periodicity of the UPO. Our method can be applied not only to the chaotic attractor but also to the situation of bifurcation.

Keywords: 05.45.+b

Published: 01 May 1996

PACS:

05.45.+b

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1996/V13/I5/0333

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