Boundedness of solutions for a class of oscillating potentials without the twist condition

DOI10.1007/S10114-010-9133-0zbMath1223.34053OpenAlexW2039167903MaRDI QIDQ627578

Zhi Guo Wang, Yi Qian Wang

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9133-0

zbMATH Keywords

boundedness of solutionsKAM theoremtwist conditionoscillating potential

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (2)

Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition ⋮ The coexistence of quasi-periodic and blow-up solutions in a superlinear Duffing equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundedness of solutions in a class of Duffing equations with oscillating potentials
• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• Quasiperiodic motions in superquadratic time-periodic potentials
• Invariant curves and time-dependent potentials
• An unbounded solution of a superlinear Duffing's equation
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Unbounded Solutions of ÿ + g(y) = p{t)

This page was built for publication: Boundedness of solutions for a class of oscillating potentials without the twist condition