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Quasi-attractors in a Piece-Wise Smooth Area-Preserving Map

  • 1Institute of Plasma Physics, Chinese Academy of Sciences,Hefei 230031 2Complexity Science Center, Yangzhou University, Yangzhou 225002 3CCAST (World Laboratory), P.O.Box 8730, Beijin100080 4Department of Modern Physics, University of Science and Technology ofChina, Hefei 230026

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  • Published Date: December 31, 2000
    Abstract
  • In a two-dimensional area-preserving map we found a kind of noninvertibility that is induced by a piece-wise smooth property of the map. This can lead to the appearance of such kinds of elliptic islands that attract the iterations from a set of initial values outside themselves, while behaving regularly inside. We suggest calling such islands quasi-attractors.

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