Stabilization of unstable periodic orbits for discrete time chaotic systems by using periodic feedback
Author(s)
Date
2006Source Title
International Journal of Bifurcation and Chaos
Print ISSN
0218-1274
Publisher
World Scientific Publishing
Volume
16
Issue
2
Pages
311 - 323
Language
English
Type
ArticleItem Usage Stats
139
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Abstract
We propose a periodic feedback scheme for the stabilization of periodic orbits for discrete time chaotic systems. We first consider one-dimensional discrete time systems and obtain some stability results. Then we extend these results to higher dimensional discrete time systems. The proposed scheme is quite simple and we show that any hyperbolic periodic orbit can be stabilized with this scheme. We also present some simulation results. © World Scientific Publishing Company.
Keywords
Chaos controlChaotic systems
Delayed feedback
Periodic feedback
Pyragas controller
Computer simulation
Discrete time control systems
Orbits
Stabilization
Chaos theory