Resonance in isochronous systems with decaying oscillatory perturbations

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Averaging method for ordinary differential equations (34C29) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Nonautonomous smooth dynamical systems (37C60) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

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Parametric resonance in adiabatic oscillators
Bifurcations of asymptotically autonomous differential equations
Quasi-periodic solutions of forced isochronous oscillators at resonance
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Asymptotically autonomous differential equations in the plane
Analysis I. Integral presentations asymptotic methods
Decaying oscillatory perturbations of Hamiltonian systems in the plane
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Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations
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Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
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Periodic oscillators, isochronous centers and resonance
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Isochronous Systems
Unbounded Motions of Perturbed Isochronous Hamiltonian Systems at Resonance
The Adiabatic Linear Oscillator
Stability and bifurcation phenomena in asymptotically Hamiltonian systems
Resonance in oscillators with nonlinearity manifested at intermediate amplitudes

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