Speaker:Li Xianyi, Professor, Zhejiang University of Science and Technology
Date:October 19, 2019
Time: 10:00 a.m.-11:00 a.m.
Location:1044 Lecture Hall, Block B, Zhixin Building, Central Campus
Inviter:Prof. Si Jianguo, the School of Mathematics
Sponsor:the School of Mathematics
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.
Prof. Li Xianyi completed his bachelor, master, and doctoral degrees successively in East China Normal University and did postdoctoral research in the University of Lille (France). He is currently professor, doctoral supervisor, and director of the Nonlinear Analysis Institute at Zhejiang University of Science and Technology. He is the “Qianjiang Scholars” Distinguished Professor of Zhejiang province, special commentator ofMathematical Review,and expert of China Academic Degrees & Graduate Education Development Center (CDGDC). He acts as chief editor, associate editor, honorary editorial board member or board member of a number of international journals and reviewer of more than 40 journals, such asJMAA, Nonl.Dyn. He has been granted funds of general programs of China Postdoctoral Science Foundation and some other natural science foundations and won science and technology progress award. Also, he is a reviewer in the doctoral dissertation anonymous review system.
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Edited by: Wang Tongtong