Analysis of the separatrix map in Hamiltonian systems
type: Item
instance of: scholarly article
title: Analysis of the separatrix map in Hamiltonian systems
zbMATH Open document ID: 0884.34043
DOI: 10.1016/0167-2789(95)00220-0
author: Taehoon Ahn
author: Seunghwan Kim
author: Gwang-Il Kim
published in: Physica D
publication date: 1995-12-19T00:00:00Z
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 827618
zbMATH Keywords: one-degree-of-freedom Hamiltonian system
zbMATH Keywords: time-periodic perturbation
zbMATH Keywords: logarithmic singularities
zbMATH Keywords: hyperbolic equilibrium
zbMATH Keywords: anti-integrable limit
zbMATH Keywords: uniformly hyperbolic chaotic invariant set
MaRDI profile type: Publication
full work available at URL: 0167-2789(95)00220-0
OpenAlex ID: W2030703861
cites work: Q4692511
cites work: Chaotic advection in a Rayleigh-Bénard flow
cites work: Phase change between separatrix crossings
cites work: Chaotic trajectories in the standard map. The concept of anti- integrability
cites work: Exponential dichotomies and transversal homoclinic points
cites work: Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
cites work: Q3359448
cites work: The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
cites work: Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
cites work: Symplectic maps, variational principles, and transport
cites work: Q3814339
cites work: Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
cites work: Cantori for multiharmonic maps
cites work: Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
cites work: Non-existence of invariant circles
description: scientific article; zbMATH DE number 827618