長沙理工大學(xué)學(xué)術(shù)活動預(yù)告

報告承辦單位:數(shù)學(xué)與統(tǒng)計學(xué)院

報告內(nèi)容: Ordered homoclinic property and generic convergence of semiflows monotone with with respect to a high dimensional cone

報告人姓名:  吳建宏(Jianhong Wu)

報告人所在單位: Laboratory for Industrial and Applied Mathematics，York University，Canada

報告人職稱/職務(wù)及學(xué)術(shù)頭銜: 教授,博導(dǎo)

報告時間: 2018年7月11日 周三下午5:00

報告地點: 理科樓A419

報告人簡介: 吳建宏，博士畢業(yè)于湖南大學(xué)，加拿大工業(yè)與應(yīng)用數(shù)學(xué)首席教授，應(yīng)用數(shù)學(xué)長江講座教授，是加拿大數(shù)學(xué)會會刊Canadian Mathematical Bulletin的主編和Differential Equations and Dynamical Systems of the American Institute of Mathematical Sciences系列叢書的主編，他同時還擔(dān)任16個國際數(shù)學(xué)期刊的編委和許多國際組織與基金會的評委。他一直從事非線性動力系統(tǒng)、無窮維動力系統(tǒng)、神經(jīng)網(wǎng)絡(luò)、數(shù)據(jù)挖掘、數(shù)學(xué)生態(tài)和傳染病動力學(xué)的研究。曾獲得了加拿大工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會研究獎，出版了5本研究專著并發(fā)表了200多篇論文。

報告摘要：For a given positive integer k, a k-cone C in an Banach space is one that contains a linear subspace of dimension k and no linear subspaces of higher dimension. A convex cone K gives a 1-cone that is the union of K and –K, so a semiflow monotone with respect to a convex cone gives the well known monotone semiflow which has been intensively studied since the seminar series of studies of M. Hirsch. Here we report some recent progress, in collaboration with Lirui Feng and Yi Wang, about the trichotomy of omega-limit sets and generic convergence of semiflows with respect high dimensional k-cone.