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Possible Occurrence of Hyperbolic Attractors

  • Sergey P. Kuznetsov

Abstract

In this chapter we review some situations considered or mentioned in literature that may have relation to occurrence of uniformly hyperbolic attractors in dynamical systems represented by maps or differential equations. To date, the approaches under discussion are developed to different extents. Only few of them are elaborated up to such degree that may allow illustrating on a level of numerical computations. Nevertheless, the collected material is of undoubted significance for prospects of search for real-world systems with uniformly hyperbolic attractors or design of physical and technical devices operating due to the presence of such attractors.

Keywords

Lyapunov Exponent Lorenz Attractor Weierstrass Function Lorenz Model Hyperbolic Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Sergey P. Kuznetsov
    • 1
  1. 1.Kotel’nikov’s Institute of Radio-Engineering and Electronics of RASSaratov BranchSaratovRussian Federation

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