|
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ENGLISH |
| |
Attractor Dimension
Estimates for Dynamical Systems: Theory and Computation.
(Co-author: N. V. Kuznetsov)
Springer Nature, 2021. |
|
Dimension Theory for Ordinary Differential Equations.
(Co-authors: G. A. Leonov and V. A. Boichenko)
B. G. Teubner Verlag / GWV Fachverlage GmbH, Wiesbaden,
TEUBNER TEXTE zur Mathematik, pp. 441, 2005.
|
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Non-Local Methods
for Pendulum-Like Feedback Systems.
(Co-authors: G. A. Leonov and V. B. Smirnova)
Teubner-Texte zur Mathematik, Bd. 132, B. G. Teubner Verlagsgesellschaft,
Stuttgart-Leipzig, 242 Seiten, 1992. |
| |
RUSSIAN |
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Applied Theory
of Partial Differential Equations
St. Petersburg State University Press, 2019. |
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Dynamical Systems,
Attractors and their Dimension Estimates
St. Petersburg State University Press, 2013.
|
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GERMAN |
| |
Reguläre und Chaotische Dynamik.
B. G. Teubner Verlagsgesellschaft, Stuttgart - Leipzig, 252 Seiten, 1996.
|
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Attraktoreingrenzung für Nichtlineare Systeme.
(Co-Autor: G. A. Leonov)
Teubner-Texte zur Mathematik, Bd. 97, B. G. Teubner Verlagsgesellschaft,
Leipzig, 196 Seiten, 1987. |
| | Book chapters |
|
Dynamische Systeme und Chaos. Kap. 17
In: Bronstein, I. N., Semendyaev, K. A., Musiol, G., und H. Mühlig (Eds.),
Taschenbuch der Mathematik (Bronstein), 11. Auflage,
Verlag EUROPA-LEHRMITTEL, Haan-Gruiten, 2020. |
|
Dynamische Systeme und Chaos. Kap. 17
In: Bronstein, I. N., Semendyaev, K. A., Musiol, G., und H. Mühlig (Eds.),
Taschenbuch der Mathematik (Bronstein), 10. Auflage, 2016. |
|
Dynamical systems and chaos. Chap. 17
In: Bronstein, I. N., Semendyayev, K. A., Musiol, G., and H. Mühlig (Eds.),
Handbook of Mathematics. Sixth Edition, Springer-Verlag,
Berlin Heidelberg, 2015.
|
| | Edited books |
| |
Nonlinear Dynamics: Attractor
Approximation and Global Behaviour
(Co-editors: N. Koksch, Th. Riedrich)
ISAM 92, International Seminar on Applied Mathematics
Technische Universität Dresden, Dresden, 1992.
|
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Nonlinear Dynamics and Quantum Dynamical Systems
(Co-editors: G. A. Leonov, W. Timmermann)
Mathematical Research, Volume 59, Akademie-Verlag Berlin, 1990.
|
| | Selected papers |
| |
Contraction analysis of Volterra integral equations via
realization theory and frequency-domain methods
Journal of Computational Dynamics
American Institute of Mathematical Sciences, Springfield, USA. Issue 1, 2023.
(Co-author: Kudryashova, E.V.) |
| |
Observation stability and convergence for neural-type
evolutionary variational inequalities
Journal Differential Equations and
Control Processes
Saint-Petersburg State University, Issue 2, 2021.
(Co-authors: Anikushin, M.M., Romanov, A.O.) |
| |
Analytical and numerical estimates of the fractal dimension of forced
quasiperiodic oscillations in control systems
Journal Differential Equations
and Control Processes
Saint-Petersburg State University, Issue 2, 2019. (Russian)
(Co-authors: Anikushin, M.M., Romanov, A.O.) |
|
Estimation of topological entropy for cocycles with cellular automaton
as a base system
Journal Differential
Equations and Control Processes
Saint-Petersburg State University, Issue 3, 2018. (Russian)
(Co-author: Egorova, V.E.) |
|
Boundedness and finite-time stability for multivalued
doubly-nonlinear
evolution systems generated by a
microwave heating problem
Contemporary Mathematics. Fundamental Directions (CMFD),
Vol. 64, Issue 1, pp. 148 - 163, 2018. (Russian)
(Co-authors: Popov, S.A., Skopinov, S.N.) |
|
The Global attractor of a multivalued dynamical system
generated by a two-phase heating system
Journal Differential
Equations and Control Processes
Saint-Petersburg State University, Issue 4, 2017. (Russian)
(Co-author: Zyrianov, D.A.) |
|
Existence and dimension properties of a global B-pullback attractor
for a
cocycle generated by a discrete control system
Differential Equations, Vol. 53 (13), 1703 - 1714,
Pleiades Publishing, Ltd., 2017.
(Co-author: Maltseva, A.A.) |
|
Upper bounds for the Hausdorff dimension and the
stratification of an
invariant set of an evolution system on a Hilbert manifold
Differential equations, Vol. 53 (13), 1715 - 1733,
Pleiades Publishing, Ltd., 2017.
(Co-authors: Kruk, A.V., Malykh, A.E.) |
|
Upper Hausdorff dimension estimates for invariant sets
of evolutionary systems on Hilbert manifolds
In: Proc.
of the Equadiff 2017, Bratislava, Slovakia, 247 - 254, 2017.
(Co-author: Kruk, A.V.) |
| |
Development of concept of topological entropy conception for
dynamical systems with multiple time
Differential equations and control
processes, No. 4, 2016. (Russian)
English transl.: Differential Equations, Vol. 52, (13), 1655 - 1670, 2016.
(Co-author: Anikuschin, M.)
|
| |
Stability analysis of Volterra functional equations by realization theory
Differential Equations and Control
Processes, No. 4, 2015. (Russian)
English transl.: Differential Equations, Vol. 51 (13), 1683 - 1691, 2015.
(Co-author: Abdalova, Yu. A.) |
|
Bifurcations of invariant measures in discrete-time
parameter dependent cocycles
Mathematica Bohemica, Vol. 140 (2), 205 - 213, 2015.
(Co-author: Maltseva, A.) |
| |
On a finite time interval stability for the one-dimensional microwave
heating problem
Vestnik, Ser.1, Mathematics.Mechanics.Astronomy,
Vol. 2 (60), Issue 1, 2015. (Russian)
(Co-author: Skopinov, S.N.) |
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