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Between Integrability and Chaos

  • David L. Rod
  • Richard C. Churchill
Part of the NATO ASI Series book series (NSSB, volume 332)

Abstract

We describe a method for proving the non-integrability of an analytic Hamiltonian system which does not appeal to the existence of chaotic motion.

Keywords

Riemann Surface Hamiltonian System Normal Bundle Symplectic Manifold Phase Curve 
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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References

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    A. Baider, R. C. Churchill, D. L. Rod and M. Singer, “On the Infinitesimal Geometry of Integrable Systems,” preprint (1992), The Fields Institute, Waterloo, Ontario.Google Scholar
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    D. L. Rod and B. Sleeman, “Complexity in Spatio-Temporal Dynamics”, to appear.Google Scholar
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • David L. Rod
    • 1
  • Richard C. Churchill
    • 2
  1. 1.Dept. of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada
  2. 2.Dept. of Mathematics, Hunter College and Graduate SchoolCUNYNew YorkUSA

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