Periodic and unbounded motions in asymmetric oscillators at resonance

DOI10.1016/j.jmaa.2015.05.076zbMath1338.34079OpenAlexW561141745MaRDI QIDQ2352193

Shiwang Ma

Publication date: 30 June 2015

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.2015.05.076

zbMATH Keywords

periodic solutionresonanceunbounded solutionasymmetric oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

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• Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations
• Semilinear Duffing equations crossing resonance points
• Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term
• A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance
• Boundedness of solutions for semilinear Duffing equations
• Nonlinear resonance in asymmetric oscillators
• Boundedness in asymmetric oscillations
• Boundedness in nonlinear oscillations at resonance
• Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
• Oscillatory escape in a Duffing equation with a polynomial potential
• Roots of unity and unbounded motions of an asymmetric oscillator
• Invariant tori and boundedness in asymmetric oscillations.
• Quasi-periodic solutions of a forced asymmetric oscillator at resonance.
• A note on the existence of unbounded solutions to a perturbed asymmetric oscillator
• Periodic solutions of the second order differential equations with asymmetric nonlinearities depending on the derivatives
• Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
• Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem
• Bounded and unbounded motions in asymmetric oscillators at resonance
• Periodic solutions of perturbed isochronous Hamiltonian systems at resonance
• Bounded perturbations of forced harmonic oscillators at resonance
• The existence of periodic solutions of systems of differential equations
• Boundary-value problems for weakly nonlinear ordinary differential equations
• Unbounded solutions of semilinear equations at resonance
• PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS WITH ASYMMETRIC NONLINEARITIES AT RESONANCE
• Boundedness of solutions for semilinear reversible systems
• Oscillations of a forced asymmetric oscillator at resonance
• On the periodic BVP for the forced duffing equation with jumping nonlinearity
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
• Asymmetric Oscillators and Twist Mappings
• Multiplicity of Periodic Solutions of Semilinear Duffing's Equation at Resonance
• Some remarks on the Poincaré-Birkhoff theorem
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
• Unbounded Motions of Perturbed Isochronous Hamiltonian Systems at Resonance
• A Generalization of the Poincare-Birkhoff Theorem
• Boundedness and unboundedness of solutions for reversible oscillators at resonance
• Periodic solutions of equations with oscillating nonlinearities

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