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Globus Seminar
January 16, 2014 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)
 


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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Yu. S. Ilyashenko


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Abstract: 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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