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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

Monographs

  • Bobylev N.A., Boltyanskii V.G., Vsekhsvyatskii S.Yu., Kalashnikov V.V., Kozyakin V.S., Kolmanovskii V.B., Kravchenko A.A., Krasnosel’skii A.M., Pokrovskii A.V. Mathematical systems theory, Moscow, Nauka, 1986, 166 pp. (in Russian) Download PDF (14.2 MB)
  • Asarin E.A., Kozyakin V.S., Krasnosel’skii M.A., Kuznetsov N.A., Analysis of the stability of asynchronous discrete systems, Moscow, Nauka, 1992, 408 pp. (in Russian) Download PDF (2.9 MB)
  • Semi-Hyperbolicity and Bi-Shadowing, AIMS Series on Random & Computational Dynamics no. 1, American Institute of Mathematical Sciences, 2012, xvi+217 pp. Download PDF (2.2 MB)

Papers

  • more than 140, see List of Publications

Theses

  • Kozyakin V.S., Some problems of the theory of bifurcations of periodic motions (phenomenon of subfurcation). Candidate of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Electronic Technology (1979), 114 p. (in Russian).
  • Kozyakin V.S., Methods of research of stability of desynchronized impulse systems. Doctor of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Information Transmission Problems, Russian Academy of Sciences (1991), 277 p.. (in Russian)

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

 

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

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

 

 

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