A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems
DOI10.1007/S10231-021-01148-9zbMath1501.34040OpenAlexW3193574647WikidataQ114228183 ScholiaQ114228183MaRDI QIDQ2143340
Alessandro Fonda, Christian Fabry
Publication date: 31 May 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-021-01148-9
Periodic solutions to ordinary differential equations (34C25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonautonomous smooth dynamical systems (37C60)
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Cites Work
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- Double resonance for one-sided superlinear or singular nonlinearities
- Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition
- A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows
- Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities
- Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem
- Double resonance with Landesman-Lazer conditions for planar systems of ordinary differential equations
- A general method for the existence of periodic solutions of differential systems in the plane
- Semilinear Duffing equations crossing resonance points
- Existence and multiplicity results for periodic solutions of semilinear Duffing equations
- Periodic solutions of nonlinear differential equations with double resonance
- Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term
- On the use of time-maps for the solvability of nonlinear boundary value problems
- Some remarkable sine and cosine functions
- Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities
- A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
- Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem
- A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation
- Playing Around Resonance
- A Landesman–Lazer-type condition for asymptotically linear second-order equations with a singularity
- A note on nonlinear oscillations at resonance
- Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
- Boundary-value problems for weakly nonlinear ordinary differential equations
- A note on the Poincaré—Birkhoff fixed point theorem and periodic solutions of planar systems
- On the periodic BVP for the forced duffing equation with jumping nonlinearity
- Resonance and nonlinearity: A survey
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