Prof. Yuri A. Kuznetsov

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    Department of Mathematics, Utrecht University, The Netherlands

    Curator and author


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    Featured Author: Yuri A. Kuznetsov

    Yuri Aleksandrovich Kuznetsov photo.jpg

    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).

    Scholarpedia articles:

    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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