7 papers
Resonance in coupled nonlinear oscillators with decaying perturbations
Oskar A. Sultanov
The influence of nonautonomous perturbations on a system of two coupled nonlinear non-identical oscillators is studied. Both the coupling intensity and the perturbation strength ar…
Resonance in isochronous systems with decaying oscillatory and stochastic perturbations
Oskar A. Sultanov
The combined influence of oscillatory excitations and multiplicative stochastic perturbations of white noise type on isochronous systems in the plane is investigated. It is assumed…
Nonlinear resonance in systems with decaying perturbations and noise
Oskar A. Sultanov
The effect of multiplicative white noise on the resonance capture in non-isochronous systems with time-decaying pumping is investigated. It is assumed that the intensity of perturb…
Resonance in isochronous systems with decaying oscillatory perturbations
Oskar A. Sultanov
Non-autonomous perturbations of isochronous systems in the plane are considered. It is assumed that the intensity of perturbations decays with time, and the frequency is asymptotic…
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…
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…
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…