About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds

DOI10.1002/mma.3390zbMath1342.34058arXiv1409.5890OpenAlexW2135040855MaRDI QIDQ2795246

Marco Spadini, Luca Bisconti

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5890

zbMATH Keywords

multiplicityperiodic solutionsODEs on manifolds

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems on manifolds (34C40)

Related Items (5)

Branches of forced oscillations induced by a delayed periodic force ⋮ Periodic solutions to perturbed nonlinear oscillators with memory ⋮ Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds ⋮ Periodic perturbations of a class of functional differential equations

Cites Work

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• Multiplicity of forced oscillations for the spherical pendulum
• Using closed orbits to bifurcate many periodic solutions for pendulum-type equations
• Forced oscillations on manifolds and multiplicity results for periodically perturbed autonomous systems
• On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds
• Harmonic solutions to a class of differential-algebraic equations with separated variables

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