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Topology in chaotic scattering

Author

Listed:
  • David Sweet

    (University of Maryland)

  • Edward Ott

    (University of Maryland)

  • James A. Yorke

    (University of Maryland)

Abstract

In chaotic scattering, an initially freely moving orbit (such as that of an atom or a star) enters a scattering region and evolves chaotically for a period of time before it escapes and returns to free motion1. We have looked at cases in which escape can occur in three or more distinct ways. Using a laboratory model, we demonstrate experimentally that the regions of state space (called basins) corresponding to different ways of escaping can have an interesting topological property that we call the Wada property, by which we mean that these regions of state space might be so convoluted that every point on the boundary of a basin is on the boundary of all basins2,3.

Suggested Citation

  • David Sweet & Edward Ott & James A. Yorke, 1999. "Topology in chaotic scattering," Nature, Nature, vol. 399(6734), pages 315-316, May.
    • Handle: RePEc:nat:nature:v:399:y:1999:i:6734:d:10.1038_20573
    DOI: 10.1038/20573
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    Cited by:

    1. Moneer, Eman M. & Steklain, Andre Fabiano & Dubeibe, Fredy L. & Alsaif, Norah A.M. & Zotos, Euaggelos E., 2023. "On the dynamics of an inflationary Bianchi IX space–time," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Alrebdi, H.I. & Steklain, A.F. & Zotos, E.E., 2022. "Applying chaos indicators to Bianchi cosmological models," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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