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      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
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      Stabilization of unstable periodic orbits for discrete time chaotic systems by using periodic feedback

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      Author(s)
      Morgül, Ö.
      Date
      2006
      Source 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
      Article
      Item 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 control
      Chaotic systems
      Delayed feedback
      Periodic feedback
      Pyragas controller
      Computer simulation
      Discrete time control systems
      Orbits
      Stabilization
      Chaos theory
      Permalink
      http://hdl.handle.net/11693/38265
      Published Version (Please cite this version)
      http://dx.doi.org/10.1142/S0218127406014824
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      • Department of Electrical and Electronics Engineering 3702
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