Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems
type: Item
instance of: scholarly article
title: Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems
author: Xiao-Mei Yang
author: Junxiang Xu
published in: Qualitative Theory of Dynamical Systems
publication date: 2024-08-13T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J25
Mathematics Subject Classification ID: 37J51
Mathematics Subject Classification ID: 70H08
Mathematics Subject Classification ID: 70K43
zbMATH DE Number: 7896481
zbMATH Keywords: reversible system
zbMATH Keywords: KAM iteration
zbMATH Keywords: invariant tori
zbMATH Keywords: degenerate equilibrium point
MaRDI profile type: Publication
cites work: Q5179742
cites work: Q4769296
cites work: Q5185568
cites work: On the Number of Solutions to Polynomial Systems of Equations
cites work: Completely degenerate lower-dimensional invariant tori for Hamiltonian system
cites work: Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
cites work: On lower dimensional invariant tori in reversible systems
cites work: Convergent series expansions for quasi-periodic motions
cites work: A lecture on the classical KAM theorem
cites work: Invariant tori in non-degenerate nearly integrable Hamiltonian systems
cites work: Q4287425
cites work: Partial preservation of frequencies in KAM theory
cites work: Construction of response solutions for two classes of quasi-periodically forced four-dimensional nonlinear systems with degenerate equilibrium point under small perturbations
cites work: Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems
cites work: Completely degenerate responsive tori in Hamiltonian systems
cites work: On the persistence of degenerate lower-dimensional tori in reversible systems
cites work: Invariant tori for nearly integrable Hamiltonian systems with degeneracy
cites work: Persistence of the non-twist torus in nearly integrable hamiltonian systems
cites work: Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems
cites work: Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems
cites work: Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points
DOI: 10.1007/S12346-024-01108-7
description: scientific article; zbMATH DE number 7896481