Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter
type: Item
instance of: scholarly article
title: Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter
zbMATH Open document ID: 1476.37077
author: Yanyan Li
published in: Journal of Differential Equations
publication date: 2021-08-06T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 70H08
Mathematics Subject Classification ID: 70K43
zbMATH DE Number: 7379506
zbMATH Keywords: quasi-periodic systems
zbMATH Keywords: KAM iteration
zbMATH Keywords: Diophantine conditions
zbMATH Keywords: degenerate equilibrium point
MaRDI profile type: Publication
full work available at URL: j.jde.2021.05.028
OpenAlex ID: W3160392105
cites work: Q4863261
cites work: Bifurcations of normally parabolic tori in Hamiltonian systems
cites work: Umbilical torus bifurcations in Hamiltonian systems
cites work: Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
cites work: Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W Si and J Si and extensions
cites work: Oscillator synchronisation under arbitrary quasi-periodic forcing
cites work: Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
cites work: On reducibility of Schrödinger equations with quasiperiodic in time potentials
cites work: Almost reducibility of linear quasi-periodic systems
cites work: Quasi-periodic motions in strongly dissipative forced systems
cites work: Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies
cites work: Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
cites work: Degenerate lower dimensional invariant tori in reversible system
cites work: Completely degenerate lower-dimensional invariant tori for Hamiltonian system
cites work: On the reducibility of linear differential equations with quasiperiodic coefficients
cites work: On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
cites work: Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
cites work: Leray-Schauder continuation theorems in the absence of a priori bounds
cites work: Q3934799
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: Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems
cites work: Completely degenerate responsive tori in Hamiltonian systems
cites work: Parabolic invariant tori in quasi-periodically forced skew-product maps
cites work: THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS
cites work: Response solutions for quasi-periodically forced harmonic oscillators
cites work: Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
cites work: On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems
cites work: On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters
cites work: Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems
cites work: A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
DOI: 10.1016/J.JDE.2021.05.028
description: scientific article; zbMATH DE number 7379506