Bounded and unbounded motions in asymmetric oscillators at resonance
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Publication:2439760
DOI10.1007/s10884-013-9329-yzbMath1301.34047OpenAlexW2079131569MaRDI QIDQ2439760
Publication date: 17 March 2014
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-013-9329-y
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40)
Related Items
Aubry-Mather sets in semilinear asymmetric Duffing equations ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance ⋮ Unbounded solutions to systems of differential equations at resonance
Cites Work
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- Semilinear Duffing equations crossing resonance points
- Boundedness in nonlinear asymmetric oscillations
- Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term
- A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance
- Littlewood's problem for isochronous oscillators
- Quasiperiodic motions in superquadratic time-periodic potentials
- Boundedness of solutions for semilinear Duffing equations
- Boundedness in asymmetric oscillations
- Boundedness in nonlinear oscillations at resonance
- Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
- Roots of unity and unbounded motions of an asymmetric oscillator
- Invariant tori and boundedness in asymmetric oscillations.
- Resonance phenomena for an asymmetric weakly nonlinear oscillator.
- A note on the existence of unbounded solutions to a perturbed asymmetric oscillator
- Periodic solutions of the second order differential equations with asymmetric nonlinearities depending on the derivatives
- Existence and multiplicity of periodic solutions of the second-order differential equations with jumping nonlinearities
- Invariant tori for a reversible oscillator with a nonlinear damping and periodic forcing term
- A case of boundedness in Littlewood's problem on oscillatory differential equations
- Boundary-value problems for weakly nonlinear ordinary differential equations
- Unbounded solutions of semilinear equations at resonance
- PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS WITH ASYMMETRIC NONLINEARITIES AT RESONANCE
- Boundedness of solutions for semilinear reversible systems
- Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
- Oscillations of a forced asymmetric oscillator at resonance
- An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
- Asymmetric Oscillators and Twist Mappings
- Multiplicity of Periodic Solutions of Semilinear Duffing's Equation at Resonance
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
- Resonance and nonlinearity: A survey
- Boundedness and unboundedness of solutions for reversible oscillators at resonance
- Boundedness and unboundedness of solutions for reversible oscillators at resonance
- Periodic solutions of equations with oscillating nonlinearities
- Quasiperiodic motions for asymmetric oscillators.
