一、讲座主题

More dynamical properties revealed from a 3D Lorenz—like system

二、时间

10月19日（周六）10:00-11:00

三、地点

中心校区知新楼B座1044报告厅

四、主讲人简介

李先义，教授，博导；华东师范大学本、硕、博，法国里尔科技大学博士后；现为浙江科技学院教授，博导，非线性分析研究所所长，浙江省“钱江学者”特聘教授，美国Mathematical Review特约评论员，教育部学位与研究生教育发展中心评估处专家。多个国际期刊的主编、副主编、荣誉编委、编委，IJBC、JMAA、Nonl.Dyn.等40余种期刊的审稿专家，中国博士后科学基金面上项目、多种自然科学基金、科技进步奖、博士毕业论文盲审等方面的评审专家。

五、摘要

After a 3D Lorenz--like system has been revisited, its more rich dynamics hiding and not found previously are clearly revealed. Some more precise mathematical work, such as for the existence of singularly degenerate heteroclinic cycles and homoclinic and heteroclinic orbits, and the dynamics at infinity, is carried out in this talk. In particular, another possible new mechanism behind the creation of chaotic attractors is presented. Based on this mechanism, some different structure types of chaotic attractors are numerically found in the case of small $b>0$.

All theoretical results obtained are further illustrated by numerical simulations. What we formulate in this talk not only is to show those dynamical properties hiding in this system, but also (more mainly) presents a kind of way and means----both “locally” and “globally” and both “finitely” and “infinitely”----to comprehensively explore a given system.

六、邀请人

司建国 数学学院教授

七、主办单位

山东大学数学学院