Proceedings of the Annual Conference of the Institute of Systems, Control and Information Engineers
The 51st Annual Conference of the Institute of Systems, Control and Information Engineers
Session ID : 5W1-2
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Host: The Institute of Systems, Control and Information Engineers

Annihilation of periodic orbits and global dynamics in time-delayed feedback control of chaos
*Kohei Yamasue, Takashi Hikihara
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Keywords: controlling chaos, time delayed feedback control, harmonic balance method, global structure
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Abstract
This paper is concerned with mechanism of time-delayed feedback control of chaos from the viewpoint of global dynamics. The harmonic balance analysis of controlled periodic systems suggests that non-target periodic orbits embedded in chaotic attractors are annihilated or degenerated to target orbits as feedback gain is increased.
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© 2007 The Institute of Systems, Control and Information Engineers
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