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Семинар «Глобус» (записи с 2011 года)
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Works of Yu. Ilyashenko in Dynamical Systems Yu. S. Ilyashenkoabcd a Cornell University b Independent University of Moscow c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics d National Research University "Higher School of Economics" |
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Аннотация: A part of the conference "Attractors, Foliations, and Limit Cycles". The talk will consists of two part: real and complex ones. Part 1: Normal forms of local families. Nonlocal bifurcations. Skew products. Attractors Part 2: Petrovski-Landis strategy. Zeros of Abelian integrals. Polynomial foliations in the complex plane. Nonlinear Stokes phenomena. Limit cycles: finiteness theorems and Hilbert-Arnold problem. Persistence of geometric objects related to polynomial dynamics. Not only the results, but also the relations between them will be discussed. |
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