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On the mathematical analysis of synchronizations

2018/05/04 15:03  点击:[]

报告人 Chun-Hsiung Hsia (夏俊雄) (台湾大学)

 

  2018年5月14日   17:00--18:00  Part 1

         2018年5月14日   20:30--21:30  Part 2

         2018年5月21日   15:00--16:00  Part 3

 

 :理科楼 LA106

 

 :The phenomena of synchronization can be easily found in a variety of natural systems. The  first reported observation of synchronization is one Dutch scientist’s discovery: Christiaan Huygens realized that two pendulum clocks hanging on the wall have always ended up swinging in exactly the opposite direction from each other in 1665. Since then,people have recognized synchronization phenomena in various areas including circadian rhythms, electrical generators, Josephson junction arrays, intestinal muscles, menstrual cycles, and  fire flies.Although it is studied in many different scientific disciplines such as applied mathematics, biology and nonlinear dynamics, the underlying mechanism of synchronization has remained a mystery. Among a number of mathematical models, the differential equations proposed by Kuramoto and Winfree have received considerable attention.

In this lecture series, we mostly focus on the Kuramoto system.

There are three parts of the lectures:

Part 1: An introduction and a survey of the theory of synchronization based on the Kuramoto model.

Part 2: theory of the second order Kuramoto system.

Part 3: The delay time effect in Kuramoto system.

 

报告人简介Chun-Hsiung Hsia (夏俊雄),台湾大学应用数学研究所教授。曾担任台湾数学会秘书长(2016/1/1 - 2017/12/31),曾获得的部分学术奖励:台湾科技部吳猷先纪念奖 (2015),台湾数学会青年数学家奖(2011),建大文教基金会年轻金玉学者奖

2008-2011),以及35th International Mathematics Olympiad , Silver Medal等。报告人的研究兴趣包括:synchronization problems;atmospheric/oceanic problems;nonlinear partial differential equations;hydrodynamic stability and geophysical fluid dynamics; bifurcation theory.

 

 

学院联系人: 周德芹

 

欢迎广大师生积极参与!

 

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