Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Sultanov, Oskar A."'
Autor:
Sultanov, Oskar A.
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 asymptotically constant with the limiting value satisfying a resonance condition
Externí odkaz:
http://arxiv.org/abs/2405.15238
Autor:
Sultanov, Oskar A.
The influence of multiplicative white noise on the resonance capture of strongly nonlinear oscillatory systems under chirped-frequency excitations is investigated. It is assumed that the intensity of the perturbation decays polynomially with time, an
Externí odkaz:
http://arxiv.org/abs/2403.14271
Autor:
Sultanov, Oskar A.
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 oscillate with an asymptotically constant frequency. Resonance effects and
Externí odkaz:
http://arxiv.org/abs/2310.05770
Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations
Autor:
Sultanov, Oskar A.
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 equilibrium. The effect of damped multiplicative stochastic perturbations of wh
Externí odkaz:
http://arxiv.org/abs/2306.07694
Autor:
Sultanov, Oskar A.
An autonomous system of ordinary differential equations describing nonlinear oscillations on the plane is considered. The influence of time-dependent perturbations decaying at infinity in time is investigated. It is assumed that the perturbations sat
Externí odkaz:
http://arxiv.org/abs/2305.16869
Autor:
Sultanov, Oskar Anvarovich
Publikováno v:
Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 32, Iss 2, Pp 147-159 (2024)
The purpose of this work is to investigate the effect of stochastic perturbations of the white noise type on the stability of capture into autoresonance in oscillating systems with a variable pumping amplitude and frequency such that a center–saddl
Externí odkaz:
https://doaj.org/article/92684d5c2de04f648e8e348244a9196c
Autor:
Sultanov, Oskar
Publikováno v:
Discrete and Continuous Dynamical Systems Series B, 28:3 (2023), 1719-1749
The influence of oscillatory perturbations on autonomous strongly nonlinear systems in the plane is investigated. It is assumed that the intensity of perturbations decays with time, and their frequency increases according to a power law. The long-ter
Externí odkaz:
http://arxiv.org/abs/2103.15882
Autor:
Sultanov, Oskar
Publikováno v:
International Journal of Bifurcation and Chaos, 31:9 (2021), 2150137, 20 pp
An autonomous system of ordinary differential equations in the plane with a centre-saddle bifurcation is considered. The influence of time damped perturbations with power-law asymptotics is investigated. The particular solutions tending at infinity t
Externí odkaz:
http://arxiv.org/abs/2012.12116
Autor:
Sultanov, Oskar
Publikováno v:
Discrete and Continuous Dynamical Systems, 41:12 (2021), 5943-5978
The effect of decaying oscillatory perturbations on autonomous Hamiltonian systems in the plane with a stable equilibrium is investigated. It is assumed that perturbations preserve the equilibrium and satisfy a resonance condition. The behaviour of t
Externí odkaz:
http://arxiv.org/abs/2010.05078
Autor:
Sultanov, Oskar
A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered. The solutions with unboundedly growing amplitude and limited phase m
Externí odkaz:
http://arxiv.org/abs/2009.08254