Stability of autoresonance models LA Kalyakin, OA Sultanov Differential Equations 49 (3), 267-281, 2013 | 36* | 2013 |
Lyapunov functions for nonautonomous systems close to Hamiltonian OA Sultanov Ufimskii Matematicheskii Zhurnal 2 (4), 88-98, 2010 | 24* | 2010 |
Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations OA Sultanov Computational Mathematics and Mathematical Physics 54 (1), 59-73, 2014 | 16* | 2014 |
Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations OA Sultanov Discrete and Continuous Dynamical Systems 41 (12), 5943-5978, 2021 | 12 | 2021 |
Asymptotic analysis of a model of nuclear magnetic autoresonance LA Kalyakin, OA Sultanov, MA Shamsutdinov Theoretical and Mathematical Physics 167 (3), 762-771, 2011 | 11* | 2011 |
Stability and bifurcation phenomena in asymptotically Hamiltonian systems OA Sultanov Nonlinearity 35 (5), 2513, 2022 | 10 | 2022 |
Damped Perturbations of Systems with Center-Saddle Bifurcation OA Sultanov International Journal of Bifurcation and Chaos 31 (09), 2150137, 2021 | 10 | 2021 |
Stability of capture into parametric autoresonance OA Sultanov Proceedings of the Steklov Institute of Mathematics 295 (1), 156-167, 2016 | 8 | 2016 |
Stability and Asymptotic Analysis of the Autoresonant Capture in Oscillating Systems with Combined Excitation O Sultanov SIAM Journal on Applied Mathematics 78 (6), 3103-3118, 2018 | 7 | 2018 |
Decaying Oscillatory Perturbations of Hamiltonian Systems in the Plane OA Sultanov Journal of Mathematical Sciences 257 (5), 705-719, 2021 | 6 | 2021 |
Autoresonance in oscillating systems with combined excitation and weak dissipation OA Sultanov Physica D: Nonlinear Phenomena 417, 132835, 2021 | 6 | 2021 |
Capture into parametric autoresonance in the presence of noise O Sultanov Communications in Nonlinear Science and Numerical Simulation 75, 14-21, 2019 | 6 | 2019 |
Stability of autoresonance models under persistent disturbances OA Sultanov Trudy Instituta Matematiki i Mekhaniki UrO RAN 18 (2), 254-264, 2012 | 6* | 2012 |
Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation OA Sultanov Discrete and Continuous Dynamical Systems - B 28 (3), 1719-1749, 2023 | 5 | 2023 |
Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise OA Sultanov International Journal of Bifurcation and Chaos 32 (11), 2250164, 2022 | 5 | 2022 |
White noise perturbation of locally stable dynamical systems O Sultanov Stochastics and Dynamics 17 (1), 1750002, 2017 | 5 | 2017 |
Bifurcations of autoresonant modes in oscillating systems with combined excitation OA Sultanov Studies in Applied Mathematics 144 (2), 213-241, 2020 | 4 | 2020 |
Stochastic stability of a dynamical system perturbed by white noise OA Sultanov Mathematical Notes 101 (1-2), 149-156, 2017 | 4 | 2017 |
Stability of autoresonance models under perturbations that are bounded in the mean OA Sultanov Trudy Instituta Matematiki i Mekhaniki UrO RAN 19 (3), 274-283, 2013 | 4 | 2013 |
Capture Into Resonance in Nonlinear Oscillatory Systems with Decaying Perturbations OA Sultanov Journal of Mathematical Sciences 262 (3), 374-389, 2022 | 3 | 2022 |