Geometrical approach to the splitting of separatrix for standard-like mappings
type: Item
instance of: scholarly article
title: Geometrical approach to the splitting of separatrix for standard-like mappings
zbMATH Open document ID: 0972.37029
DOI: 10.1016/S0375-9601(00)00813-6
author: Kiyotaka Tanikawa
author: Yoshihiro Yamaguchi
published in: Physics Letters. A
publication date: 2001-02-13T00:00:00Z
Mathematics Subject Classification ID: 37G10
zbMATH DE Number: 1564671
zbMATH Keywords: critical tangent bifurcation parameter
zbMATH Keywords: functional dependence
zbMATH Keywords: manifolds
MaRDI profile type: Publication
cites work: Splitting of separatrices for standard and semistandard mappings
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cites work: Exponentially small splitting of separatrices, matching in the complex plane and Borel summation
cites work: Asymptotic expansion of homoclinic structures in a symplectic mapping
cites work: Saddle connections and heteroclinic orbits for standard maps
cites work: Heteroclinic orbits and flux in a perturbed integrable Suris map
cites work: Transcendentally small transversality in the rapidly forced pendulum
cites work: Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems
cites work: On integrable mappings of standard type
full work available at URL: s0375-9601(00)00813-6
OpenAlex ID: W1986058006
description: scientific article; zbMATH DE number 1564671