报告题目：Complex dynamics of a 3D Loren-like chaotic system

报告摘要：After a 3D Lorenz-like system has been revisited, more rich hidden dynamics that was not found previously is clearly revealed. Some more precise mathematical work, such as for the complete distribution and the local stability and bifurcation of its equilibrium points, the existence of singularly degenerate heteroclinic cycles as well as homoclinic and heteroclinic orbits, and the dynamics at infinity, is carried out in this paper. 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 paper is to not only show those dynamical properties hiding in this system, but also (more mainly) present a kind of way and means-both “locally” and “globally” and both “finitely” and “infinitely”-to comprehensively explore a given system.

报告时间：2016年5月27日(周五)下午4:30-5:30

报告地点：数学科学学院三楼报告厅304

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李先义教授简介：扬州大学教授，博士生导师，华东师范大学应用数学专业博士,法国里尔科技大学数学系博士后。研究方向：常微分方程与动力系统；主要兴趣：稳定性理论、分支与混沌理论。主持国家自然科学基金面上项目、国家留学基金等各类科研项目等20余项。在Nonlinear Dyn., IJBC, JMAA, CMA等著名期刊发表科研论文70余篇，被SCI收录40余篇，EI收录20余篇。曾先后被评为 “湖南省学科带头人”、“广东省‘千百十’人才工程省级培养对象”、 “湖南省青年骨干教师”、“湖南省新世纪‘121’人才工程”人选等，获得“全国第三届‘秦元勋常微分方程奖’”等科研奖励、荣誉10多项。