Quasi-periodic solutions in nonlinear asymmetric oscillations

DOI10.4171/ZAA/1319zbMath1130.34024MaRDI QIDQ2454952

Xiaojing Yang, Kueiming Lo

Publication date: 22 October 2007

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

nonlinear ordinary differential equationunlinked periodic solution

Mathematics Subject Classification ID

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

Related Items (2)

Aubry-Mather sets in semilinear asymmetric Duffing equations ⋮ A new approach to the existence of quasiperiodic solutions for second-order asymmetric \(p\)-Laplacian differential equations

Cites Work

• Boundedness in nonlinear asymmetric oscillations
• Nonlinear resonance in asymmetric oscillators
• Boundedness in asymmetric oscillations
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• Aubry-Mather sets for finite-twist maps of a cylinder and semilinear Duffing equations
• Roots of unity and unbounded motions of an asymmetric oscillator
• Quasi-periodic solutions of a forced asymmetric oscillator at resonance.
• Lagrange stability for asymmetric Duffing equations
• Positively homogeneous Hamiltonian systems in the plane
• Boundedness in nonlinear oscillations
• Quasiperiodic solutions of Duffing’s equations
• Unbounded solutions of semilinear equations at resonance
• Boundedness of solutions of a class of nonlinear systems
• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
• Oscillations of a forced asymmetric oscillator at resonance

This page was built for publication: Quasi-periodic solutions in nonlinear asymmetric oscillations