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Михаил Аникушин
Михаил Аникушин
СПбГУ, математико-механический факультет, кафедра прикладной кибернетики, ст. научный сотрудник
Verified email at student.spbu.ru - Homepage
Title
Cited by
Cited by
Year
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
212020
NONLINEAR SEMIGROUPS FOR DELAY EQUATIONS IN HILBERT SPACES, INERTIAL MANIFOLDS AND DIMENSION ESTIMATES
MM Anikushin
Дифференциальные уравнения и процессы управления, 1-47, 2022
192022
Frequency theorem for parabolic equations and its relation to inertial manifolds theory
M Anikushin
Journal of Mathematical Analysis and Applications 505 (1), 125454, 2022
192022
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
142019
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
72016
Spectral comparison of compound cocycles generated by delay equations in Hilbert spaces
M Anikushin
arXiv preprint arXiv:2302.02537, 2023
62023
Dimension theory approach to the complexity of almost periodic trajectories
M Anikushin
arXiv preprint arXiv:1710.03052, 2017
62017
Badly approximable numbers and the growth rate of the inclusion length of an almost periodic function
M Anikushin
arXiv preprint arXiv:1710.03043, 2017
62017
Dimensional aspects of almost periodic dynamics
MM Anikushin
book:[8], 2019
52019
Frequency conditions for the global stability of nonlinear delay equations with several equilibria
M Anikushin, A Romanov
arXiv preprint arXiv:2306.04716, 2023
42023
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products
M Anikushin
arXiv preprint arXiv:2304.05713, 2023
42023
Quadratic Lyapunov functionals and geometry of inertial manifolds
MM Anikushin
International Online Conference “One-Parameter Semigroups of Operators 2021”, 2021
22021
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Articles 1–20