Roots of unity and unbounded motions of an asymmetric oscillator

From MaRDI portal
Publication:1381634

DOI10.1006/jdeq.1997.3367zbMath0899.34023OpenAlexW1976474211MaRDI QIDQ1381634

Rafael Ortega, Jose Miguel-Alonso

Publication date: 15 November 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3367




Related Items

A note on the existence of unbounded solutions to a perturbed asymmetric oscillatorUnbounded solutions of a class of planar systemsBoundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequencyPositively homogeneous Hamiltonian systems in the planeQuasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potentialAubry-Mather sets in semilinear asymmetric Duffing equationsUnbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearityOn Littlewood’s problem for the asymmetric oscillatorInvariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivativesBoundedness of solutions for nonlinear reversible system at resonanceAlmost periodic solutions for an asymmetric oscillationLoss of energy concentration in nonlinear evolution beam equationsOn the existence and uniqueness of limit cycles for hybrid oscillatorsBoundedness of semilinear Duffing equations at resonance in a critical situationNonlinear resonance in asymmetric oscillations.Periodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbersThe existence of unbounded solutions of asymmetric oscillations in the degenerate resonant caseBounded and unbounded motions in asymmetric oscillators at resonancePeriodic oscillators, isochronous centers and resonanceInvariant tori and boundedness in asymmetric oscillations.Quasi-periodic solutions of a forced asymmetric oscillator at resonance.Boundedness for the general semilinear Duffing equations via the twist theoremQuasi-periodic solutions in nonlinear asymmetric oscillationsExistence and infinity of periodic solutions of some second order differential equations with isochronous potentialsThe coexistence of quasi-periodic and blow-up solutions in a class of Hamiltonian systemsUnnamed ItemCoexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonanceResonance of bounded isochronous oscillatorsBoundedness in forced isochronous oscillatorsPeriodic solutions of perturbed isochronous Hamiltonian systems at resonanceBoundedness in nonlinear asymmetric oscillationsUnbounded solutions in asymmetric oscillationsGrowth of Sobolev norms in time dependent semiclassical anharmonic oscillatorsUnboundedness of the large solutions of an asymmetric oscillatorInfinity of subharmonics for asymmetric Duffing equations with the Lazer-Leach-Dancer conditionBoundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear termInvariant tori for a reversible oscillator with a nonlinear damping and periodic forcing termUnbounded solutions of asymmetric oscillatorQuasiperiodic motions for asymmetric oscillators.Boundedness of solutions in asymmetric osillations via the twist theorem.Existence of periodic solutions of a class of planar systemsA single particle impact model for motion in avalanchesGeneralizing the Poincaré-Miranda theorem: the avoiding cones conditionPeriodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonancePeriodic solutions of singular second order equations at resonanceBoundedness and unboundedness of solutions for reversible oscillators at resonanceUnbounded solutions for asymmetric oscillations in the degenerate resonant caseBoundedness in asymmetric oscillationsBoundedness of solutions for second order differential equations with asymmetric nonlinearityBoundedness in asymmetric oscillations at resonance in a critical situationPeriodic and unbounded motions in asymmetric oscillators at resonanceUnbounded solutions to systems of differential equations at resonanceA new method for the boundedness of semilinear Duffing equations at resonanceIrrational rotation numbers and unboundedness of solutions of the second order differential equations with asymmetric nonlinearities



Cites Work


This page was built for publication: Roots of unity and unbounded motions of an asymmetric oscillator