Frequency theorem and inertial manifolds for neutral delay equations M Anikushin Journal of Evolution Equations 23 (4), 66, 2023 | 25* | 2023 |
On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations MM Anikushin Vestnik St. Petersburg University, Mathematics 52, 234-243, 2019 | 24* | 2019 |
A non-local reduction principle for cocycles in Hilbert spaces M Anikushin Journal of Differential Equations 269 (9), 6699-6731, 2020 | 21 | 2020 |
NONLINEAR SEMIGROUPS FOR DELAY EQUATIONS IN HILBERT SPACES, INERTIAL MANIFOLDS AND DIMENSION ESTIMATES MM Anikushin Дифференциальные уравнения и процессы управления, 1-47, 2022 | 19 | 2022 |
Frequency theorem for parabolic equations and its relation to inertial manifolds theory M Anikushin Journal of Mathematical Analysis and Applications 505 (1), 125454, 2022 | 19 | 2022 |
Inertial manifolds and foliations for asymptotically compact cocycles in Banach spaces M Anikushin arXiv preprint arXiv:2012.03821, 2020 | 18* | 2020 |
Analytical and numerical estimates of the fractal dimension of forced quasiperiodic oscillations in control systems MM Anikushin, V Reitmann, AO Romanov Differ. Uravn. Protsessy Upravl 2, 2019 | 17* | 2019 |
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO M Anikushin, A Romanov Physica D: Nonlinear Phenomena 445, 133653, 2023 | 15* | 2023 |
The Poincar\'e-Bendixson theory for certain compact semi-flows in Banach spaces M Anikushin arXiv preprint arXiv:2001.08627, 2020 | 15* | 2020 |
Almost automorphic dynamics in almost periodic cocycles with one-dimensional inertial manifold M Anikushin Дифференциальные уравнения и процессы управления 2021 (2), 13-48, 2021 | 14* | 2021 |
On the Smith reduction theorem for almost periodic ODEs satisfying the squeezing property MM Anikushin Russian Journal of Nonlinear Dynamics 15 (1), 97-108, 2019 | 14 | 2019 |
On the Compactness of Solutions to Certain Operator Inequalities Arising from the Likhtarnikov–Yakubovich Frequency Theorem MM Anikushin Vestnik St. Petersburg University, Mathematics 54, 301-310, 2021 | 11* | 2021 |
Development of concept of topological entropy for systems with multiple time MM Anikushin, V Reitmann Differential Equations 52, 1655-1670, 2016 | 7 | 2016 |
Spectral comparison of compound cocycles generated by delay equations in Hilbert spaces M Anikushin arXiv preprint arXiv:2302.02537, 2023 | 6 | 2023 |
Dimension theory approach to the complexity of almost periodic trajectories M Anikushin arXiv preprint arXiv:1710.03052, 2017 | 6 | 2017 |
Badly approximable numbers and the growth rate of the inclusion length of an almost periodic function M Anikushin arXiv preprint arXiv:1710.03043, 2017 | 6 | 2017 |
Dimensional aspects of almost periodic dynamics MM Anikushin book:[8], 2019 | 5 | 2019 |
Frequency conditions for the global stability of nonlinear delay equations with several equilibria M Anikushin, A Romanov arXiv preprint arXiv:2306.04716, 2023 | 4 | 2023 |
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products M Anikushin arXiv preprint arXiv:2304.05713, 2023 | 4 | 2023 |
Quadratic Lyapunov functionals and geometry of inertial manifolds MM Anikushin International Online Conference “One-Parameter Semigroups of Operators 2021”, 2021 | 2 | 2021 |