Periodic solutions of perturbed isochronous Hamiltonian systems at resonance

DOI10.1016/j.jde.2005.02.003zbMath1080.34020OpenAlexW1967516448MaRDI QIDQ2484423

Alessandro Fonda, Christian Fabry

Publication date: 1 August 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.02.003

zbMATH Keywords

periodic solutiontopological degreeHamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11)

Related Items (10)

Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition ⋮ Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations ⋮ Double resonance in Sturm-Liouville planar boundary value problems ⋮ Periodic solutions of some resonant Hamiltonian systems ⋮ Existence and infinity of periodic solutions of some second order differential equations with isochronous potentials ⋮ Subharmonic solutions of indefinite Hamiltonian systems via rotation numbers ⋮ Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities ⋮ On the minimal periodic solutions of nonconvex superlinear Hamiltonian systems ⋮ Littlewood's problem for isochronous oscillators ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance

Cites Work

• Nonlinear resonance in asymmetric oscillators
• Boundedness in asymmetric oscillations
• Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities
• Roots of unity and unbounded motions of an asymmetric oscillator
• Periodic solutions of the second order differential equations with asymmetric nonlinearities depending on the derivatives
• Positively homogeneous Hamiltonian systems in the plane
• Boundary-value problems for weakly nonlinear ordinary differential equations
• PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS WITH ASYMMETRIC NONLINEARITIES AT RESONANCE
• Unbounded Motions of Perturbed Isochronous Hamiltonian Systems at Resonance
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