Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps
type: Item
instance of: scholarly article
title: Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps
zbMATH Open document ID: 0943.70010
DOI: 10.1016/S0167-2789(98)00314-5
author: Karl Wodnar
author: Simos Ichtiaroglou
author: E. Meletlidou
published in: Physica D
publication date: 2000-09-05T00:00:00Z
Mathematics Subject Classification ID: 70H07
Mathematics Subject Classification ID: 70H09
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 37J10
zbMATH DE Number: 1370234
zbMATH Keywords: symplectic perturbed twist mappings
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: fixed points
zbMATH Keywords: non-integrability
zbMATH Keywords: analytic continuation
zbMATH Keywords: isolated periodic orbits
zbMATH Keywords: linear stability
zbMATH Keywords: eigenvalues
zbMATH Keywords: Jacobian matrix
zbMATH Keywords: Suris potential
MaRDI profile type: Publication
cites work: Stable and Random Motions in Dynamical Systems
cites work: Q4284069
cites work: The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
cites work: Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
cites work: Q3665939
cites work: A criterion for the non-existence of invariant circles
cites work: Q5185741
cites work: Transport in Hamiltonian systems
cites work: Resonances in area-preserving maps
cites work: Symplectic maps, variational principles, and transport
cites work: A rigorous partial justification of Greene's criterion
cites work: Q3294369
cites work: On the periodic motions near a given periodic motion of a dynamical system
cites work: Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
cites work: Periodic orbits for reversible, symplectic mappings
cites work: Breakup of invariant tori for the four-dimensional semi-standard map
cites work: Linear stability of symplectic maps
cites work: Q5508470
cites work: Computing the dependence on a parameter of a family of unstable manifolds: generalized Melnikov formulas
cites work: Saddle connections and heteroclinic orbits for standard maps
cites work: Applications of the Melnikov method to twist maps in higher dimensions using the variational approach
cites work: Poincaré - Melnikov - Arnold method for analytic planar maps
cites work: Mel’nikov’s Function for Two-Dimensional Mappings
cites work: A Mel'nikov vector for \(N\)-dimensional mappings
cites work: Melnikov vector function for high-dimensional maps
cites work: Splitting of separatrices for standard and semistandard mappings
cites work: A refined formula for the separatrix splitting for the standard map
cites work: On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom
cites work: Q4514123
cites work: A criterion for non-integrability based on Poincaré's theorem
cites work: The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system
cites work: On integrable mappings of standard type
cites work: Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
cites work: Integrable maps
cites work: Q4065809
cites work: Q5682739
cites work: Q5508817
cites work: Q4692840
cites work: Q4955623
cites work: Recent progress in the theory and application of symplectic integrators
full work available at URL: s0167-2789(98)00314-5
OpenAlex ID: W2024474094
description: scientific article; zbMATH DE number 1370234