Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method
type: Item
instance of: scholarly article
title: Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method
zbMATH Open document ID: 1203.37098
DOI: 10.1134/S1560354710020103
author: Sumit K. Garg
published in: Regular and Chaotic Dynamics
publication date: 2011-01-14T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 70H08
zbMATH DE Number: 5836794
zbMATH Keywords: hyperbolic KAM tori
zbMATH Keywords: transverse homoclinic orbits
zbMATH Keywords: Melnikov method
MaRDI profile type: Publication
cites work: Transversal Homoclinic Orbits in an Integrable System
cites work: Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems
cites work: Examples of Hamiltonian systems with transversal homoclinic orbits
cites work: Convergence of Birkhoff normal forms for integrable systems
cites work: Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium
cites work: On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
cites work: Q4393447
cites work: The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
cites work: Integrability of hamiltonian systems on cantor sets
cites work: A model for separatrix splitting near multiple resonances
cites work: Q4302493
cites work: Sur Certains Systemes Dynamiques Separables
description: scientific article; zbMATH DE number 5836794