On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
type: Item
instance of: scholarly article
title: On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
zbMATH Open document ID: 1120.37041
author: L. P. Shil'nikov
author: S. V. Gonchenko
published in: Journal of Mathematical Sciences (New York)
publication date: 2007-08-07T00:00:00Z
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J10
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 37G25
zbMATH DE Number: 5177669
zbMATH Keywords: semilocal dynamics
zbMATH Keywords: symplectic diffeomorphisms
MaRDI profile type: Publication
full work available at URL: s10958-005-0228-6
OpenAlex ID: W1998639256
cites work: Q4240834
cites work: On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands
cites work: Invariants of \(\Omega\)-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory
cites work: ON MODULI OF SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC POINCARÉ CURVE
cites work: Q3027448
cites work: Arithmetic properties of topological invariants of systems with nonstructurally stable homoclinic trajectories
cites work: On two-dimensional area-preserving mappings with homoclinic tangencies.
cites work: The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
cites work: ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
cites work: Q4264342
cites work: ON GEOMETRICAL PROPERTIES OF TWO-DIMENSIONAL DIFFEOMORPHISMS WITH HOMOCLINIC TANGENCIES
cites work: Q3349637
DOI: 10.1007/S10958-005-0228-6
description: scientific article; zbMATH DE number 5177669