各部门、各单位:
应我校无线网络安全技术国家工程实验室邀请,天津商业大学张广教授将于6月17日来我校做微分方程及离散动力系统相关领域学术报告,欢迎广大师生参加!报告的具体安排如下:
报告时间:2019年6月17日(周一)下午16:00—18:00。
报告地点:无线网络安全技术国家工程实验室会议室。
报告题目:The diffusion-driven instability and complexity for a single-handed discrete Fisher equation
摘要:It seems to be a necessary condition that the diffusion coefficient of the inhibitor must be larger than that of the activator when the Turing instability is considered. However, the diffusion-driven instability/Turing instability for a single-handed discrete Fisher equation with the Neumann boundary conditions may occur and a series of 2-periodic patterns have be observed. Motivated by these pattern formations, the existence of 2-periodic solutions is established. Naturally, the periodic double and the chaos phenomenon should be considered. To this end, a simplest two elements system will be further discussed, the flip bifurcation theorem will be obtained by computing the center manifold, and the bifurcation diagrams will be simulated by using the shooting method. It proves that the Turing instability and the complexity of dynamical behaviors can be completely driven by the diffusion term. Additionally, those effective methods of numerical simulations are valid for experiments of other patterns, thus, are also beneficial for some application scientists.
报告人简介:张广,工学博士、教授、天津商业大学学术委员会委员、天津大学博士生导师、美国数学会会员、国际差分方程学会会员、DDNS(SCI收录期刊,JCR三区)编委。主要从事微分方程、离散动力系统、导航、制导与控制等,发表科研论文150余篇,出版专著2部。主持完成的项目获得省部级科技进步奖三等和二等奖各1次。曾受邀访问过智利、韩国、加拿大、英国等国家。
特此通知。
科研处
通信与信息工程学院
2019年6月14日