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math.DS2023
Nonlinear resonance in oscillatory systems with decaying perturbations
Oskar A. Sultanov
Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscil…
math.DS2023
Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations
Oskar A. Sultanov
A class of asymptotically autonomous systems on the plane with oscillatory coefficients is considered. It is assumed that the limiting system is Hamiltonian with a stable equilibri…