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 Supported projects since  2007
 Supported projects
 (1994 - 2006)
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  Publications



 
Textbooks and Monographs
    ENGLISH
  • Attractor Dimension Estimates for Dynamical Systems: Theory and Computation.
    Springer Verlag (2021)
    (Co-authors: G. A. Leonov and N. V. Kuznetsov)
  • Dimension Theory for Ordinary Differential Equations.
    B. G. Teubner Verlag / GWV Fachverlage GmbH, Wiesbaden,
    TEUBNER TEXTE zur Mathematik, pp. 441, 2005.
    (Co-authors: G. A. Leonov and V. A. Boichenko)
  • Non-Local Methods for Pendulum-Like Feedback Systems.
    Teubner-Texte zur Mathematik, Bd. 132, B. G. Teubner Verlagsgesellschaft,
    Stuttgart-Leipzig, 242 Seiten, 1992.
    (Co-authors: G. A. Leonov and V. B. Smirnova)
     
        RUSSIAN
  • Applied Theory of Partial Differential Equations
    St. Petersburg State University Press, 2019. (Russian)
  • Dynamical Systems, Attractors and their Dimension Estimates
    St. Petersburg State University Press, 2013. (Russian)
     
        GERMAN
  • Reguläre und chaotische Dynamik.
    B. G. Teubner Verlagsgesellschaft, Stuttgart - Leipzig, 252 Seiten, 1996.
  • Attraktoreingrenzung für nichtlineare Systeme.
    Teubner-Texte zur Mathematik, Bd. 97, B. G. Teubner Verlagsgesellschaft,
    Leipzig 1987, 196 Seiten.
    (Co-Autor: G. A. Leonov)
     
    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), 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


     
    Selected papers
     
      
  • 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.)
     

              Publications 2000 - 2014