Участник:Victor Kleptsyn/New main

Dynamical Systems

Welcome to the official site of the seminar on Dynamical Systems.

The seminar is supervised by Yu.S.Ilyashenko, sometimes together with his colleges and students: E.M.Landis, 1972--77, N.N.Nekhoroshev, 1972--83, R.I.Bogdanov, 1994-95, A.S.Gorodetski, who also supervised the section for the beginners, in 1997-2003, A.I.Bufetov who supervised the section for the beginners in 1997-2000, A.Yu. Fishkin, 2003 -- nowdays, I.V.Schurov, 2009 -- nowdays.

The modern theory of dynamical systems is one of the main tools of natural studies. As a mathematical discipline it spreads from physics and probability to multidimentional complex analysis and algebraic geometry.

Some key problems are: How chaos occurs in deterministic systems? Where is the boundary between differential equations and probability theory in the description of the limit behavior of dynamical systems? What the attractor of a typical dynamical system looks like? What are the characteristic features of the foliations of a complex plane by analytic curves? What may be said about the number and location of limit cycles of a planar polynomial vector field? These questions (the latter one going back to Hilbert) are or were in the realm of the investigations of the seminar.

One of the traditions of the seminar is a part of a general tradition of Moscow Mathematical School. It is involving young students in the creative work on the very early stage of their education. Several new results are obtained by the third and second year undergraduate students participating the seminar.