On the analytic structure of chaos in dynamical systems

  • Tassos Bountis
Seminars and Communications
First Online:
Part of the Lecture Notes in Physics book series (LNP, volume 179)

Abstract

A number of new and exciting results on the chaotic properties of dynamical systems have been recently obtained by studying their movable singularities in the complex time plane. New, integrable systems were identified by requiring that their solutions admit only poles. Allowing for logarithmic singularities, it has been possible to distinguish between “strongly” and “weakly” chaotic Hamiltonian systems, while in some cases natural boundaries with self-similar structure have been found. The analysis is direct, widely applicable and is illustrated here on some simple examples.

Keywords

Chaotic Region Chaotic Property Painleve Property Freedom Hamiltonian System Complex Time Plane 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Tassos Bountis
    • 1
  1. 1.Department of Mathematics and Computer ScienceClarkson College of TechnologyPotsdamN. Y.

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