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Qualitative Theory of Dynamical Systems

, Volume 7, Issue 1, pp 181–193 | Cite as

A Survey of Symbolic Dynamics and Celestial Mechanics

  • Samuel R. Kaplan
Article

Abstract.

For over thirty years, symbolic dynamics has been used in celestial mechanics to show the presence of chaos. This paper reviews this history and the more recent attempts at using symbolic dynamics as a method of global analysis in the three-body problem.

Keywords.

Celestial mechanics three-body problem symbolic dynamics 

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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  • Samuel R. Kaplan
    • 1
  1. 1.Department of MathematicsUniversity of North Carolina AshevilleAshevilleUSA

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