A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem
It has been proved that, in the classical planar circular restricted three-body problem, the degenerate saddle point processes transverse homoclinic orbits. Since the standard Smale-Birkhoff theorem cannot be directly applied to indicate the chaotic dynamics of the Smale horseshoe type, we in this n...
Main Authors: | Xuhua Cheng, Zhikun She |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2015/965829 |
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