Victor Kozyakin
Doctor of Physical & Mathematical
Sciences
Laboratory of Dynamics and Stochastics of Complex Systems
Higher School of Modern Mathematics
Moscow Institute of Physics and Technology, Russia
Email koziakin.vs@mipt.ru
Laboratory of Dynamics and Stochastics of Complex Systems
Higher School of Modern Mathematics
Moscow Institute of Physics and Technology, Russia
Email koziakin.vs@mipt.ru
Personal Data
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Date of birth: |
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April 16, 1950 |
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Place of birth: |
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Gorky, USSR |
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Nationality: |
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Russia |
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Marital status: |
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Married |
Education
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1967–1972 |
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Student.
Voronezh State University, Mathematical Faculty. Majored in nonlinear
functional analysis, differential equations and control theory. Thesis
"On vibrostable differential equations of the 2nd order". Specialty by
education: Mathematician. |
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1973–1976 |
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Postgraduate of Prof. Mark Krasnosel'skii at the Institute for Control Problems, Academy of Sciences of the USSR, Moscow. |
Degrees
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1979 |
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Candidate
of Physical & Mathematical Sciences (PhD). Thesis "Some problems of
the theory of bifurcations of periodic motions (phenomenon of
subfurcation)", defended at the Institute of Electronic Technology,
Moscow. Specialty 01.01.01 — "Mathematical analysis". |
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1992 |
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Doctor
of Physical & Mathematical Sciences (DrSci). Thesis "Methods for
investigation of stability of desynchronized impulse systems", defended
at the National Research Institute of System Studies, Moscow. Specialty
01.01.11 — "System analysis and remote control". |
Title
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1991 |
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Senior Scientific Researcher. Specialty 01.01.11 — "System analysis and remote control". |
Public activity
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2003–now |
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Member of the International Society of Difference Equations. |
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1996–2000 |
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Member of the Dissertation Soviet K.064.12.04 (scientific degree's qualification board) at the Yaroslavl State University. |
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2001–2007 2011–2023 |
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Member
of the Dissertation Soviet D.002.077.01 (scientific degree's
qualification board) at the Institute for Information Transmission
Problems.
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2011–2023 |
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Member
of the Dissertation Soviet D.002.077.03 (scientific degree's
qualification board) at the Institute for Information Transmission
Problems. |
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2003–2023 |
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Member of the Editorial Board of the electronic journal Information Processes. |
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2011–2022 |
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Member of the Editorial Board of the journal Discrete Dynamics in Nature and Society. |
Employment History
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Aug. 2024–now |
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Higher
School of Modern Mathematics, Moscow Institute of Physics and
Technology (National Research University). Description of work: study
of the generalized spectral radius of a family of linear operators. |
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1990–Aug. 2024 |
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Institute
for Information Transmission Problems. Russian Academy of Sciences.
Senior Researcher, Leading Researcher, Principal Researcher, Deputy
Head of the Sector of Mathematical Methods in the Control Theory.
Description of work: study of stability of asynchronous systems.
Introduced new notions of stability in classes of desynchronization and
developed methods for studying the stability of asynchronous systems.
Investigation of the influence of controllability-type on transients in
asynchronous systems. Applications of the stability theory of
asynchronous systems to the analysis of the dynamics of datagram
networks. Investigation of the influence of temporal/spatial
discretization on the dynamics of continuous systems. Study of the
stability of asynchronous Hopfield-Tank neural networks. Investigation
of the problem of generalized spectral radius of a family of linear
operators. |
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1992–1993 |
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Hebrew
State University. Faculty of Computer Science. Moscow. Associate
Professor. Work description: lectures in linear algebra and geometry.
Supervision of students. |
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1988–1990 |
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Research
Institute of Control Problems, “NPO ASU Moskva” of the Moscow City
Executive Committee. Senior Researcher. Work description: study of
stability of phase and frequency desynchronized systems. Development of
symbolic dynamics technique for studying stability of frequency
desynchronized systems. Modeling of air pollution in the Moscow region. |
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1976–1988 |
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National
Cardiology Research Center. Russian Academy of Medical Sciences,
Moscow. Senior Engineer, Junior Researcher, Senior Researcher, Leading
Researcher, Head of the Group of Computer Real-time Diagnostics of
Cardiac Rhythm in Coronary Care Units, Head of the Group of Image
Processing. Work description: estimation of electrocardiogram
parameters. Development of an automated computer system for real-time
diagnosis in coronary care units. Development of new algorithms for
fast smoothing of electrocardiograms and fast removal of artifacts,
based on the principle of “median filtering”. Development of reliable
algorithms based on median filtering for determination of wave
parameters of electrocardiogram (QRS-complexes and P-wave) and for edge
detection in radioisotope images. Topological classification of
singularities. New necessary and sufficient conditions for topological
classification of singularities for sub-definite mappings. Application
of the developed methods to the study of the Hopf bifurcation problem. |
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1973–1976 |
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Institute
for Control Problems. Academy of Sciences of the USSR, Moscow.
Postgraduate student. Thesis description: study of bifurcation effects
accompanying the loss of equilibrium of autonomous/periodic
differential/difference equations. It was found that the loss of
stability is generally accompanied by the bifurcation of long periodic
solutions whose periods grow to infinity at the moment of bifurcation.
This phenomenon was called the phenomenon of subfurcation. Later, the
simple explanation of the phenomenon of subfurcation was given by V.
Arnold (but only for a sufficiently smooth case). |
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1972–1973 |
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Institute
of Mathematics of the Voronezh State University, Voronezh. Engineer.
Description of the work: analysis of vibrostability conditions for 2nd
order differential equations. |