セミナー

発表言語 英語
開催日 2011年12月16日 14時00分
終了日 2011年12月16日 17時00分
開催場所京都大学理学部6号館609号室
セミナー名京都力学系セミナー
タイトル Validated Numerics and challanges in Dynamical Systems 
分野 解析
その他
講演者名Warwick Tucker
講演者所属Uppsala University
概要We will present recent work on two intensely studied
problems in dynamical systems. The first deals with
the discrete quadratic map; here the long-standing
question concerns the regions of stability when varying
the parameter of the map. The second topic concerns
Hilbert's 16th problem, which asks for the possible
number (and configuration) of limit cycles for planar
polynomial vector fields.

Both problems have been thoroughly studied for more
than a century, and with a formidable variation of
techniques. We will show how validated numerics can
contribute to gaining further insight into these
problems. This work is joint with Daniel Wilczak
and Tomas Johnson, respectively.
リンクhttps://www.math.kyoto-u.ac.jp/dynamics/