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“语理”系列学术报告：四川大学张伟年教授报告
- 来源：
- 学校官网
- 收录时间：
- 2025-02-15 14:53:50
- 时间：
- 2025-02-17 14:00:00
- 地点：
- 19楼 211
- 报告人：
- 张伟年
- 学校：
- -/-
- 关键词：
- enzyme-catalyzed reaction,model,substrate-activator system,cubic polynomial,equilibria,bifurcations,dynamics,inequality,global analysis,periodic orbits,homoclinic orbits
- 简介：
- In this talk we discuss a substrate-activator system, which depends on a cubic polynomial with such a complicated relation between its coefficients and the original parameters that the coordinates of equilibria or even the number of equilibria can hardly be determined in many cases. All found results on its qualitative properties and bifurcations are given indirectly for the artificial parameter s*, a coordinate of a general equilibrium, and the analysis of its dynamics remains far from completion. Not following the common idea of computing eigenvalues at equilibria, we give a complete analysis of equilibria directly for those original parameters by using continuity, monotonicity and some techniques of inequality. For a global analysis we discuss its equilibria at infinity, one of which possesses degeneracy so high sometimes that neither the well known normal sector method nor the blowing-up method can be used easily. Furthermore, overcoming those difficulties from not solving all coordinates of equilibria, we give a versal unfolding with its original parameters to the degenerate cases and present bifurcation curves of periodic orbits and homoclinic orbits explicitly.
- -/- 71
报告介绍：
应数理学院邀请，四川大学张伟年教授来我校进行学术交流，并做学术报告。
报告人介绍：
张伟年是四川大学二级教授、博士生导师，国家杰出青年获得者。从事微分方程与动力系统研究，主持国家自然科学基金重点项目、面上项目、国家杰出青年科学基金项目；应邀出访美国杨百翰大学、明尼苏达大学等多所国外高校开展合作研究；在Adv. Math.，Math. Ann.，Proc. Lond. Math. Soc.，Trans. Amer. Math. Soc.，J. Funct. Anal.，Nonlinearity，J. Differential Equations等著名国际期刊发表论文100余篇；获得多项荣誉和奖项，包括中国青年科技奖、国务院“政府特殊津贴”、教育部“高校青年教师奖”、国家教学成果二等奖、宝钢优秀教师特等奖提名奖、德国“莱昂哈德·欧拉奖”、教育部自然科学一等奖。
