Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation
type: Item
instance of: scholarly article
title: Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation
zbMATH Open document ID: 0605.58036
DOI: 10.1017/S030821050002641X
author: David L. Rod
author: Richard C. Churchill
published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
publication date: 1986-01-01T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 3977993
zbMATH Keywords: homoclinic and heteroclinic orbits
zbMATH Keywords: perturbed vector fields
zbMATH Keywords: Hamiltonian dynamical systems
MaRDI profile type: Publication
cites work: Reduction of the semisimple \(1:1\) resonance
cites work: Q3336422
cites work: Melnikov's method and averaging
cites work: Homoclinic Points of Area Preserving Diffeomorphisms
cites work: On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior
cites work: Geometry of the bifurcations of the normalized reduced Henon–Heiles family
cites work: Q5848416
cites work: Pathology in dynamical systems. III: Analytic Hamiltonians
cites work: On averaging, reduction, and symmetry in Hamiltonian systems
cites work: On the applicability of the third integral of motion
cites work: Q4167627
cites work: On resonant non linearly coupled oscillators with two equal frequencies
cites work: Non-integrability of Hénon-Heiles system and a theorem of Ziglin
cites work: Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case
cites work: Q3933274
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
description: scientific article