3 papers
math.DS2024
Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise
Oskar A. Sultanov
The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed th…
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
Asymptotic regimes in oscillatory systems with damped non-resonant perturbations
Oskar A. Sultanov
An autonomous system of ordinary differential equations describing nonlinear oscillations on the plane is considered. The influence of time-dependent perturbations decaying at infi…