演講公告

新聞標題：　( 2020-11-19 )

• 演講主題：Series representation of Evans function and applications on stability analysis for traveling waves of Lotka-Volterra competition system

• 主講人：楊智烜教授(東海大學應數系)

• 演講日期：2020年12月1日(二) 14:00 –15:00

• 演講地點：(光復校區) 科學一館223室

• 茶會時間：當天下午13:30 (科學一館205室)

• 摘要內容：
  

  Abstract
  Under suitable change of variables, we transform the linearized eigenvalue problem around a traveling wave into a ODE with two finite regular singular point. The fundamental solution satisfying the one-sided boundary condition to the linearized eigenvalue problems is then derived. Accordingly, the Evans function, whose zeros corresponds to the point spectrum of the traveling wave, is represented as an infinite series. Based on the series representations, the number of point spectrum lying on the right half of the complex plane, can be numerically identified by counting the winding numbers of the image of a suitable contour mapped by the Evans function. Several types of traveling waves in Lotka-Volterra competition system are taken as examples for illustration.

• 相關檔案：TALK_1091201.pdf

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