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Complex bifurcations and new types of structure discovered in the Qi system
时间:2026年11月06日 20:30 点击数:

报告人:李先义

报告地点:线上腾讯会议(会议ID:131-988-556,会议密码:1234)

报告时间:2026年11月08日(星期日)14:00-15:00

邀请人:冀书关、孟鑫

报告摘要:

In this talk, we revisit the Qi system and reveal its previously undiscovered complex dynamical properties. We first rigorously characterize the precise distribution of its equilibria in its total parameter space, then completely analyze the stability of all of its equilibria. Next, what's more important, we investigate its bifurcation problems concerning both the quantity of equilibria and stability boundaries, further analyzing codimension-two bifurcations between subcritical and supercritical pitchfork bifurcations as well as codimension-three Hopf bifurcations. Finally, through numerical encoding of system trajectory, we generate biparametric sweep that unveils several remarkable phenomena deserving deeper exploration, where, most significantly, we first discover in the Qi system intriguing and new types of structure: self-similar UII-shaped structure and shrimp-shaped structure.

主讲人简介:

李先义,浙江科技大学二级教授,博士生导师,浙江省“钱江学者”特聘教授,浙江科技大学“科大学者”,非线性分析研究所所长。主持科研项目20余项,发表论文130余篇,Top期刊16篇,H-因子为20,在德国出版专著1部。先后被评为“湖南省青年骨干教师”、湖南省新世纪“121人才工程”人选、“湖南省学科带头人”等;获“湖南省高校科技工作先进工作者”、“上海市研究生优秀成果”(优博)、全国第三届“秦元勋常微分方程奖”等科研奖励与荣誉20余项。担任多个国际期刊的主编、副主编、荣誉编委、编委及50余种科研期刊的审稿专家。先后应邀访问法国Haute Alsace大学、德国Ulm大学、复旦、上海交大等50多所名校。

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