A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Cheng, Xuhua& She, Zhikun. 2015. A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052149
Modern Language Association (MLA)
Cheng, Xuhua& She, Zhikun. A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem. Abstract and Applied Analysis No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052149
American Medical Association (AMA)
Cheng, Xuhua& She, Zhikun. A Note on the Existence of a Smale Horseshoe in the Planar Circular Restricted Three-Body Problem. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052149