Quasi-periodic solutions of a quasi-periodically forced nonlinear beam equation

DOI10.1016/J.CNSNS.2011.10.022zbMath1269.35043OpenAlexW2087163034MaRDI QIDQ434810

Yi Wang

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.10.022

zbMATH Keywords

normal formquasi-periodic solutionsinfinite dimensional Hamiltonian systemsquasi-periodically forced nonlinear beam equations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (13)

Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation ⋮ Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition ⋮ Quasi-periodic solutions for generalized Kaup system with quasi-periodic forcing ⋮ Infinitely many periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients ⋮ Invariant tori for Benjamin-Ono equation with unbounded quasi-periodically forced perturbation ⋮ The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing ⋮ Quasi-periodic solutions of wave equations with the nonlinear term depending on the time and space variables ⋮ Quasi-periodic solutions for beam equations with the nonlinear terms depending on the space variable ⋮ Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing ⋮ On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equation ⋮ On the existence of countably many periodic solutions of a boundary value problem for the beam vibration equation with homogeneous boundary conditions ⋮ The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation ⋮ Invariant tori for a nonlinearly modified Kawahara equation with periodic boundary conditions

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