Abstract
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 note alternatively apply the Conley-Moser conditions to analytically prove the existence of a Smale horseshoe in this classical restricted three-body problem.
Citation
Xuhua Cheng. Zhikun She. "A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem." Abstr. Appl. Anal. 2015 (SI13) 1 - 8, 2015. https://doi.org/10.1155/2015/965829
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