The existence of transversal homoclinic orbits in a planar circular restricted four-body problem
type: Item
instance of: scholarly article
title: The existence of transversal homoclinic orbits in a planar circular restricted four-body problem
zbMATH Open document ID: 1342.70032
author: Zhikun She
author: Xuhua Cheng
author: Cuiping Li
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2016-08-05T00:00:00Z
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70K44
Mathematics Subject Classification ID: 37N05
zbMATH DE Number: 6609571
zbMATH Keywords: transversal homoclinic orbits
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: Melnikov method
zbMATH Keywords: non-canonical transformation
zbMATH Keywords: stable manifold theorem
MaRDI profile type: Publication
full work available at URL: s10569-012-9460-9
OpenAlex ID: W2012552251
cites work: Families of periodic orbits in the restricted four-body problem
cites work: On the Stability of Equilibrium Positions in the Circular Restricted Four-Body Problem
cites work: Q3948194
cites work: The existence of transverse homoclinic points in the Sitnikov problem
cites work: Studying the stability of equilibrium solutions in a planar circular restricted four-body problem
cites work: Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
cites work: Transversal homoclinic orbits in the collinear restricted three-body problem
cites work: On the central configurations of the planar restricted four-body problem
cites work: A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
cites work: The restricted Hill four-body problem with applications to the Earth-Moon-Sun system
cites work: The Restricted Hill Full 4-Body Problem: application to spacecraft motion about binary asteroids
cites work: Periodic orbits and bifurcations in the Sitnikov four-body problem
cites work: Melnikov method and transversal homoclinic points in the restricted three-body problem
cites work: Periodic and homoclinic motions in forced, coupled oscillators
cites work: Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
cites work: Multi-pulse chaotic dynamics of non-autonomous nonlinear system for a honeycomb sandwich plate
cites work: Studies of Melnikov method and transversal homoclinic orbits in the circular planar restricted three-body problem
DOI: 10.1007/S10569-012-9460-9
description: scientific article; zbMATH DE number 6609571