On the stabilization of periodic orbits for discrete time chaotic systems

Date
2005-02
Authors
Morgül, Ö.
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Source Title
Physics Letters A
Print ISSN
0375-9601
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Publisher
Elsevier
Volume
335
Issue
2-3
Pages
127 - 138
Language
English
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Abstract

In this Letter we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We propose a novel and simple periodic delayed feedback law and present some stability results. These results show that all hyperbolic periodic orbits as well as some non-hyperbolic periodic orbits can be stabilized with the proposed method. The stability proofs also give the possible feedback gains which achieve stabilization. We will also present some simulation results.

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