科学研究
学术报告
Snakes and Isolas of Localized Patterns
发布时间:2016-03-24浏览次数:

报告人:徐衍聪 副教授 (杭州师范大学)

题目:Snakes and Isolas of Localized Patterns

时间:3月24日(星期四),上午 10:00-11:00

地点:致远楼107


欢迎各位老师和同学参加!

徐衍聪,华东师范大学应用数学博士,浙江大学博士后,杭州师范大学数学系副教授,硕士生导师,美国(SIAM)工业与应用数学会员,美国数学评论评论员。先后访问美国布朗大学、日本京都大学、德国不莱梅大学等高校。目前主要从事动力系统分支理论及应用研究,主要包括:Dynamical Systems, Dynamics of Patterns, Nonlinear Waves, Homoclinic and Heteroclinic Phenomena等研究工作。先后在Discrete and Continuous Dynamical Systems A,Dynamical Systems,Nonlinear Dynamics,Inter. J. of Bifur. and Chaos,Science in China等杂志发表论文30余篇,主持和参与各类基金10余项。


报告摘要

As we know, there are many systems undergoing different kinds of snaking bifurcations, such as slanted snaking, collapsed snaking etc., and isola bifurcations including a stack of isolas and a nested of isolas. In this talk, we will focus on the existence of snakes and isolas of a non-symmetric system. Conditions are derived that guarantee snaking or result in diagrams that either consist entirely of isolas.