KAM tori for a two dimensional beam equation with a quintic nonlinear term and quasi-periodic forcing
type: Item
instance of: scholarly article
title: KAM tori for a two dimensional beam equation with a quintic nonlinear term and quasi-periodic forcing
author: Min Zhang
author: Jie Rui
author: Yan Li
author: Jian Zhang
published in: Qualitative Theory of Dynamical Systems
publication date: 2022-11-24T00:00:00Z
Mathematics Subject Classification ID: 37K55
Mathematics Subject Classification ID: 70K43
Mathematics Subject Classification ID: 70H08
zbMATH DE Number: 7622856
zbMATH Keywords: KAM theory
zbMATH Keywords: Hamiltonian vector field
zbMATH Keywords: quintic beam equation
zbMATH Keywords: quasi-periodic forcing
zbMATH Keywords: admissible set
MaRDI profile type: Publication
full work available at URL: s12346-022-00687-7
OpenAlex ID: W4309000408
cites work: Q3792301
cites work: Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
cites work: KAM for the nonlinear Schrödinger equation
cites work: KAM for the nonlinear beam equation
cites work: On reducibility of Schrödinger equations with quasiperiodic in time potentials
cites work: A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
cites work: KAM tori for higher dimensional beam equations with constant potentials*
cites work: An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
cites work: Reducible KAM tori for two-dimensional quintic Schr&ouml;dinger equations
cites work: An infinite dimensional KAM theorem with application to two dimensional completely resonant beam equation
cites work: On reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) with quasiperiodic in time potential
cites work: Growth of Sobolev norms for the quintic NLS on \(\mathbb T^2\)
cites work: Q5829223
cites work: Nearly integrable infinite-dimensional Hamiltonian systems
cites work: Convergent series expansions for quasi-periodic motions
cites work: Q5687501
cites work: A KAM algorithm for the resonant non-linear Schrödinger equation
cites work: A normal form for beam and non-local nonlinear Schrödinger equations
cites work: Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
cites work: Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
cites work: Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension.
cites work: Quasi-periodic solutions of two dimensional Schrödinger equations with quasi-periodic forcing
cites work: Reducibility and quasi-periodic solutions for a two dimensional beam equation with quasi-periodic in time potential
cites work: Construction of quasi-periodic solutions for the quintic Schrödinger equation on the two-dimensional torus $\mathbb {T}^2$
DOI: 10.1007/S12346-022-00687-7
description: scientific article; zbMATH DE number 7622856