Featured Author: Yuri A. Kuznetsov
Yuri Aleksandrovich Kuznetsov (b. in Alma-Ata, USSR, September 8, 1957)
received graduate degree in theoretical physics from the Rostov-on-Don
State University, USSR, in 1979, and the Ph.D. in physics and mathematics
from the Institute of Biophysics, USSR Academy of Sciences, Pushchino,
Moscow Region, in 1986. From 1979, he was affiliated with the Research Computing Center (RCC;
currently: Institute of Mathematical Problems of Biology), USSR /Russian Academy
of Sciences, Pushchino, where he held different positions, including that of
Senior Researcher from 1998 until recently. During 1991-1998, he visited as Invited
Professor/Researcher IIASA (Laxenburg, Austria), Politecnico di Milano (Italy),
CWI (Amsterdam, The Netherlands), and ENS (Paris, France). Since 1999
he is affiliated with Utrecht University (The Netherlands), currently
being an Associate Professor at the Department of Mathematics.
His reserach interests include theoretical and algorithmic aspects of
bifurcation theory, analytical and numerical study of nonlinear dinamical systems,
and development of interactive software tools for their bifurcation analysis.
With his colleagues from RCC, Yu.A. Kuznetsov was one of the first to develop numerical
bifurcation methods for ODEs and to apply them to biological models. His recent works were
devoted to efficient numerical continuation, and normal form analysis of bifurcations of limit cycles
using bordered boundary-value problems, without computation of Poincaré maps.
He is the author of a popular textbook "Elements of Applied Bifurcation Theory"
(Springer-Verlag, New York; editions: 1995, 1998, and 2004) and a coauthor of widely used
bifurcation software LOCBIF, AUTO, CONTENT, and MATCONT. Dr. Kuznetsov's Scholar Index is 73 (as of October 3, 2007).
- Andronov-Hopf Bifurcation
- Bautin Bifurcation
- Bogdanov-Takens Bifurcation
- Cusp Bifurcation
- Fold-Hopf Bifurcation
- Saddle-node Bifurcation
- Saddle-Node Bifurcation for Maps
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