A note on the existence of a Smale horseshoe in the planar circular restricted three-body problem

DOI10.1155/2015/965829zbMath1345.37034OpenAlexW2097382787WikidataQ59101470 ScholiaQ59101470MaRDI QIDQ305005

Xuhua Cheng, Zhikun She

Publication date: 26 August 2016

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/965829

Mathematics Subject Classification ID

Three-body problems (70F07) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Study on Chaotic Behavior of the Restricted Four-Body Problem with an Equilateral Triangle Configuration ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

Cites Work

• Unnamed Item
• Unnamed Item
• The existence of a Smale horseshoe in a planar circular restricted four-body problem
• The existence of transversal homoclinic orbits in a planar circular restricted four-body problem
• Heteroclinic connections between periodic orbits in planar restricted circular three body problem. II
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Melnikov method and transversal homoclinic points in the restricted three-body problem
• Arnold diffusion and oscillatory solutions in the planar three-body problem
• The existence of transverse homoclinic points in the Sitnikov problem
• Studies of Melnikov method and transversal homoclinic orbits in the circular planar restricted three-body problem
• Heteroclinic connections between periodic orbits in planar restricted circular three-body problem -- a computer-assisted proof
• Transversal homoclinic orbits in the collinear restricted three-body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Chaotic orbits in a restricted three-body problem: numerical experiments and heuristics
• Superintegrable three-body systems on the line
• Order and chaos in the planar isosceles three-body problem
• Resonance dynamics and partial averaging in a restricted three-body system

This page was built for publication: A note on the existence of a Smale horseshoe in the planar circular restricted three-body problem