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      • Department of Electrical and Electronics Engineering
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      On the stabilization of periodic orbits for discrete time chaotic systems

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      Author(s)
      Morgül, Ö.
      Date
      2005-02
      Source Title
      Physics Letters A
      Print ISSN
      0375-9601
      Publisher
      Elsevier
      Volume
      335
      Issue
      2-3
      Pages
      127 - 138
      Language
      English
      Type
      Article
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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.
      Keywords
      Chaos control
      Chaotic systems
      Delayed feedback
      Pyragas controller
      Article
      Mathematical analysis
      Oscillation
      Physics
      Simulation
      Permalink
      http://hdl.handle.net/11693/24110
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.physleta.2004.11.057
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      • Department of Electrical and Electronics Engineering 3702
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