应数学与计算科学学院及广西高校数据分析与计算重点实验室邀请，国防科技大学黄建华教授、玉林师范学院刘永建教授将于2021年6月5日下午到我校讲学，欢迎全校师生踊跃参加。报告具体安排如下：

题目一：Dynamics of a class of stochastic weaklydissipative system

时间：2021年6月5日（周六）下午15：00

地点：花江校区第六教学楼6306报告厅

摘要：

In this talk, we present some results about for the Kordeweg-de Vries equation. Firstly, we prove the analytic radius does not decay faster than $t^{-/frac{1}{4}} as time $t$ goes to infinity. Then we present some new idea to prove the Chuehov-Lasicha quasi-stable estimates for the KdV equation on $R$. the global attractor has a finite fractal dimension in the sharp space $H^3(R)$ whenever the force belongs to $L^2(R)$. For the high-order damped stochastic kdv equations with Brownian motion and Poisson jump processes, we prove the existence of the invariant measure, which is ergodic. This is a joint work with Ming Wang and Pengfei Xu.

主讲人简介：

黄建华，国防科技大学教授，博士生导师，主要研究非线性系统的行波解和随机动力系统的动力学，先后完成国家自科基金面上项目3项，参加1项重点项目，先后获得湖南省自然科学二等奖1项，国家教学成果二等奖1项。

题目二：Analysis of geometric invariants for three types of bifurcations in 2D differential systems

时间：2021年6月5日（周六）下午16：30

地点：花江校区第六教学楼6306报告厅

摘要：

Based on the KCC geometric invariants, three types of static bifurcations in 2D differential systems, i.e., saddle-node bifurcation, transcritical bifurcation, and pitchfork bifurcation, are discussed in this paper. The dynamics far from fixed points of the systems generating bifurcations are characterized by the deviation curvature and nonlinear connection. In the nonequilibrium region, nonlinear stability of systems is not simple but involves alternation between stability and instability, even though systems are invariably Jacobi-unstable. The results also indicate that the dynamics in the nonequilibrium region are node-like for three typical static bifurcations.

主讲人简介：

刘永建，1998年湘潭大学数学专业毕业，于2010年华南理工大应用数学专业获博士学位。广西高校卓越学者，非线性系统数据分析与应用广西高校高水平创新团队负责人，广西本科高校特色专业信息与计算科学负责人，曾获广西科学技术奖自然科学奖和广西高校自治区级教学成果奖获。现任玉林师范学院数学与统计学院院长。主要从事混沌理论与应用研究。在混沌复杂性分析、吸引子几何解析、高维连续系统的闭轨相对位置等方面做出大量工作，获得了一些新结果。主持获得国家自然科学基金项目3项、广西自然科学基金项目3项(其中重点项目1项)。