A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem
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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.
2007 ◽
Vol 17
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pp. 1151-1169
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2005 ◽
Vol 15
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pp. 1-10
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1996 ◽
Vol 17
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pp. 1177-1187
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2004 ◽
Vol 291
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pp. 1-19
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Vol 461
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pp. 1786-1803
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1995 ◽
Vol 131
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pp. 335-358
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