陳怡全 教授 (中央研究院數學研究所) Family of Julia Sets as Orbits of Differential Equations

主講人:陳怡全 教授 (中央研究院數學研究所)

主題:
Family of Julia Sets as Orbits of Differential Equations

Abstract:
The Julia sets of the quadratic map $f_\mu(z)=\mu z(1-z)$ for $\mu$ not belonging to the Mandelbrot set form a continuous family as $\mu$ varies. I shall show that this family can be obtained explicitly by solving a system of infinitely coupled differential equations. I shall also present numerical approximations to the Julia sets integrated from the anti-integrable limit $\mu=\infty$.

時間:2008 年 12 月 08 日13:20~14:10

地點:
新生大樓202 室

茶會:
14:20於舊數館201室


〈活動訊息〉 2008-12-08 (星期一)