The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation
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Publication:5855653
DOI10.1063/5.0018196zbMath1460.74052arXiv2007.13045OpenAlexW3129786563MaRDI QIDQ5855653
Publication date: 19 March 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.13045
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical systems in solid mechanics (37N15) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Quasi-periodic solutions of two dimensional Schrödinger equations with quasi-periodic forcing
- Quasi-periodic solutions for quasi-periodically forced nonlinear Schrödinger equations with quasi-periodic inhomogeneous terms
- Quasi-periodic solutions of a non-autonomous wave equations with quasi-periodic forcing
- Quasi-periodic solutions of a quasi-periodically forced nonlinear beam equation
- Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing
- Invariant tori of full dimension for a nonlinear Schrödinger equation
- KAM for the nonlinear beam equation
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Quasi-periodic solutions of completely resonant nonlinear wave equations
- The construction of quasi-periodic solutions of quasi-periodic forced Schrödinger equation
- KAM tori for higher dimensional beam equation with a fixed constant potential
- Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing
- Nearly integrable infinite-dimensional Hamiltonian systems
- KAM tori of Hamiltonian perturbations of 1D linear beam equations
- Almost-periodic solutions of an almost-periodically forced wave equation
- On invariant tori of full dimension for 1D periodic NLS
- Almost periodic solutions for a class of linear Schrödinger equations with almost periodic forcing
- KAM tori for higher dimensional beam equations with constant potentials*
- Quasi-periodic solutions of nonlinear beam equation with prescribed frequencies
- Almost periodic solutions for a class of higher-dimensional beam equations
- Quasi-Periodic Solutions of Completely Resonant Forced Wave Equations
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