Periodic solutions of forced isochronous oscillators at resonance | Zendy

Denis Bonheure | Zendy; C. Fabry | Zendy; Didier Smets | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Periodic solutions of forced isochronous oscillators at resonance

Author(s) -

Denis Bonheure,

C. Fabry,

Didier Smets

Publication year - 2002

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2002.8.907

Subject(s) - singularity , multiplicity (mathematics) , physics , perturbation (astronomy) , nonlinear system , resonance (particle physics) , mathematical analysis , singularity theory , mathematics , quantum mechanics

We study the existence of 2pi-periodic solutions for forced nonlinear oscillators at resonance, the nonlinearity being a bounded perturbation of a function deriving from an isochronous potential, i.e. a potential leading to free oscillations that all have the same period. The family of isochronous oscillators considered here includes oscillators with jumping nonlinearities, as well as oscillators with a repulsive singularity, to which a particular attention is paid. The existence results contain, as particular cases, conditions of Landesman-Lazer type. Even in the case of perturbed linear oscillators, they improve earlier results. Multiplicity and non-existence results are also given

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research