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 (since 1994)
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  Publications


 
Textbooks and Monographs


    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.
  • 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
  • Applied Theory of Partial Differential Equations
    St. Petersburg State University Press, 2019.
  • Dynamical Systems, Attractors and their Dimension Estimates
    St. Petersburg State University Press, 2013.
        GERMAN
  • Reguläre und Chaotische Dynamik.
    B. G. Teubner Verlagsgesellschaft, Stuttgart - Leipzig, 252 Seiten, 1996.
  • 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.
  • 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.)

              Publications 2000 - 2014