Unbounded Motions of Perturbed Isochronous Hamiltonian Systems at Resonance

DOI10.1515/ans-2005-0303zbMath1088.34027OpenAlexW2131991775MaRDI QIDQ5697581

Alessandro Fonda, Christian Fabry

Publication date: 18 October 2005

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2005-0303

zbMATH Keywords

unbounded solutionsnonlinear resonanceisochronous Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives ⋮ Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance ⋮ A strategy to locate fixed points and global perturbations of ODE's: mixing topology with metric conditions ⋮ Periodic solutions of perturbed isochronous Hamiltonian systems at resonance ⋮ Unbounded solutions of asymmetric oscillator ⋮ Generalizing the Poincaré-Miranda theorem: the avoiding cones condition ⋮ Littlewood's problem for isochronous oscillators ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance ⋮ Unbounded solutions to systems of differential equations at resonance

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