On the stabilization of periodic orbits for discrete time chaotic systems
Date
2005-02
Authors
Morgül, Ö.
Advisor
Instructor
Source Title
Physics Letters A
Print ISSN
0375-9601
Electronic ISSN
Publisher
Elsevier
Volume
335
Issue
2-3
Pages
127 - 138
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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.
Course
Other identifiers
Book Title
Keywords
Chaos control, Chaotic systems, Delayed feedback, Pyragas controller, Article, Mathematical analysis, Oscillation, Physics, Simulation