Boundedness of solutions and existence of invariant tori for a generalized pendulum type equation

DOI10.1007/BF02882662zbMath0906.34030MaRDI QIDQ1387444

Rong Yuan, Hai Huang

Publication date: 26 January 1999

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

boundedness of solutionsquasiperiodic solutionsinvariant toriMoser's small twist theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (1)

Dynamical behaviors for generalized pendulum type equations with \(p\)-Laplacian

Cites Work

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• Invariant tori and Lagrange stability of pendulum-type equations
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Critical point theory and Hamiltonian systems
• Stable and Random Motions in Dynamical Systems
• KAM theory for particles in periodic potentials
• Invariant curves and time-dependent potentials
• Quasi-periodic solutions of nonlinear elliptic partial differential equations
• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
• Subharmonic solutions of second order nonlinear equations: a time-map approach

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