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SUMMARY:Bernoulli lecture III - Dynamical systems and heat equation
DTSTART:20131024T171500
DTEND:20131024T181500
DTSTAMP:20260407T100402Z
UID:c949777c74df88c69020077ad3898ffef49dd470010e11b3debdfefa
CATEGORIES:Conferences - Seminars
DESCRIPTION:Victor M. Buchstaber\nWe will consider homogeneous polynomial 
 dynamical systems in an n-dimensional space\, n = 0\, 1\, 2\, 3\, ... For 
 any such system our construction matches a non-linear ordinary differentia
 l equation. We will describe the algorithm that brings the solution of suc
 h equation to a solution of the one-dimensional heat equation.\nThe classi
 cal solution of the heat equation corresponds to the case n = 0. We will g
 ive the full classification of non-linear ordinary differential equation t
 hat arise from our construction. We will discuss in details the dynamical 
 systems and differential equations which arise in classical problems of me
 chanics\, in modern physical problems and in the theory of integrable syst
 ems. The lecture will be accessible to a broad audience.
LOCATION:BI A0 478
STATUS:CONFIRMED
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