Lagrangian stability of a nonlinear quasi-periodic system

DOI10.1016/J.JMAA.2004.01.003zbMath1058.34071OpenAlexW2012993324MaRDI QIDQ1827083

Yanyan Li

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.003

zbMATH Keywords

quasi-periodic solutionKAM iterationLagrangian stability

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for ordinary differential equations (34D99) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (2)

The existence of quasiperiodic solutions for coupled Duffing-type equations ⋮ An application of variational approach to delay Hamiltonian systems on time scales with impulses

Cites Work

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• Invariant tori and Lagrange stability of pendulum-type equations
• Quasiperiodic motions in superquadratic time-periodic potentials
• A lecture on the classical KAM theorem
• Stable and Random Motions in Dynamical Systems
• KAM theory for particles in periodic potentials
• Quasi-periodic solutions of nonlinear elliptic partial differential equations
• Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Quasiperiodic solutions of Duffing’s equations
• Boundedness of Solutions for Quasiperiodic Potentials

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