Invariant tori and boundedness in asymmetric oscillations.

DOI10.1007/s10114-003-0249-3zbMath1047.34036OpenAlexW1990630605MaRDI QIDQ1421083

Xin-ping Wang

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1007/s10114-003-0249-3

zbMATH Keywords

KAM theoryinvariant toriasymmetric oscillation

Mathematics Subject Classification ID

Related Items (14)

Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential ⋮ Boundedness of semilinear Duffing equations at resonance in a critical situation ⋮ Bounded and unbounded motions in asymmetric oscillators at resonance ⋮ Quasi-periodic solutions of a forced asymmetric oscillator at resonance. ⋮ Unnamed Item ⋮ Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance ⋮ Boundedness in forced isochronous oscillators ⋮ Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term ⋮ Boundedness and unboundedness of solutions for reversible oscillators at resonance ⋮ Littlewood's problem for isochronous oscillators ⋮ Boundedness of solutions for second order differential equations with asymmetric nonlinearity ⋮ Boundedness in asymmetric oscillations at resonance in a critical situation ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance ⋮ A new method for the boundedness of semilinear Duffing equations at resonance

Cites Work

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• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
• Oscillations of a forced asymmetric oscillator at resonance
• A Semi-Fredholm Principle for Periodically Forced Systems with Homogeneous Nonlinearities
• Asymmetric Oscillators and Twist Mappings
• Jumping nonlinearities for neumann BVPs with positive forcing

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