Scientific Interests

  • System analysis (control theory, theory of discrete event systems, desynchronized systems, mathematical modeling)
  • Nonlinear analysis and its applications
  • Linear functional analysis
  • Numerical methods
  • Qualitative problems of differential equations and operator equations
  • Bifurcation theory
  • Asynchronous neural networks
  • Influence of temporal/spatial discretization on behavior of continuous dynamical systems
  • Investigation of the generalized spectral radius for a set of linear operators

Conferences

  • IFAC'90 (Tallinn, Estonia)
  • IMACS'91 (Dublin, Ireland)
  • IFAC'93 (Sydney, Australia)
  • WCNA'96 (1 hour talk, Athens, Greece)
  • IMACS'97 (Berlin, Germany)
  • CESA'98 (Hammamet, Tunisia)
  • ILAS'99 (Barcelona, Spain)
  • DANSE Workshop "Numerics of Nonautonomous Dynamical Systems" (Schloss Waldthausen, Mainz, Germany, 2000)
  • ICDEA 2001 (invited talk, Augsburg, Germany) International Workshop on the Foundations of Nonautonomous Dynamical Systems (Friedrichsdorf am Taunus, Germany, 28th September - 2nd October 2003)
  • International Conference "Kolmogorov and Contemporary Mathematics" (Moscow State University, Russia, June 16-21, 2003)
  • International Conference on Difference Equations, Special Functions and Applications (Munich, Germany, July 25-30, 2005, Invited talk)
  • The 44th IEEE Conference on Decision and Control and European Control Conference 2005 (Seville, Spain, December 12-15, 2005, Invited talk)
  • AIMS Sixth International Conference on Dynamical Systems, Differential Equations and Applications 2006 (France, Poitiers, June 25 - 28, 2006)
  • EQUADIFF 2007 (Austria, Vienna, August 5-11, 2007)
  • 18th World Congress of the International Federation of Automatic Control, IFAC (Italy, Milan, August 28 - September 2, 2011)
  • Nonlinear Dynamics Conference in Memory of Alexei Pokrovskii (Ireland, University College Cork, September 5-9, 2011)
  • 6th International
  • Workshop on MULTI-RATE PROCESSES & HYSTERESIS in Mathematics, Physics, Engineering and Information Sciences, MURPHYS, May 21-24, 2012, Suceava, Romania
  • Workshop on switching dynamics & verification, Institut pour le Contrôle et la Décision de l’Idex Paris-Saclay, Paris, France, January 28-29, 2016
  • 33rd Symposium on Theoretical Aspects of Computer Science, (STACS 2016), Orléans, France, February 17-20, 2016
  • EQINOCS (entropy and information in computational systems) workshop, Paris, France, May 9-11, 2016

Research visits

1993-1997
six (or seven ?) 2-month visits as Associate Researcher at Queensland University, Brisbane, Australia, and Deakin University, Geelong, within Australian Research Counsel grants A 8913 2609 and A 6953 2878 headed by Prof. Peter Kloeden and Prof. Phil Diamond.
1994, 1997
2-week visits as Visiting Academician at Laboratory for Parallel Computing, Federal University of Rio de Janeiro, Brazil. Visits organized by Prof. Eugenius Kaszkurewicz and Prof. Amit Bhaya.
1999
1-month visit as "Professeur invité" at University of Rouen, France. Visit organized by Prof. Claude Dellacherie. Supervision of students.
1999, 2000
three 3-month visits at Johann Wolfgang Goethe University, Frankfurt am Main, Germany, within DFG Grant "Ergodentheorie, Analysis und effiziente Simulation dynamischer Systeme" headed by Prof. Peter Kloeden and Prof. Björn Schmalfuß.
2001
2-week visit at VERIMAG (Grenoble, France) within NATO grant CRG-961115 "Computational complexity of control problems". Visit organized by Prof. Vincent Blondel and Prof. Evgueni Assarine.
2003
2-month visit of both Boole Centre for Research in Informatics and Department of Applied Mathematics, University College Cork. Visit organized by Prof. Patrick Fitzpatrick and Prof. Alexei Pokrovskii.
2005
1-month visit of Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin. Visit organized by Prof. Dmitri Ratchinski.
2011, 2014
1-week visits to the Nanjing University and the Sun Yat-Sen (Zhongshan) University, China. Organizer of the visit: Prof. Xiongping Dai.