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学术报告
学术报告
华中师范大学大学黄继才教授报告通知
发布人:许美玲??威尼斯官方网站:2018-12-19?? 浏览次数:375

应数学系蒋卫华教授的邀请,华中师范大学大学黄继才教授将于近日到访我校进行学术交流并做报告,欢迎感兴趣的师生参加。

时间:20181222日,930

地点:格物楼503

题目: Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts

 

摘要:This talk is concerned with the upper bound of the number of limit cycles in unfolding of codimension 3 planar singularities with nilpotent linear parts. After making a central rescaling, the problem reduces to a perturbation problem of a one-parameter family of quadratic reversible systems. As the parameter  is rational, except the case , based on the Chebyshev criterion for Abelian integrals and a rationalizing transformation, the problem could be solved theoretically. To illustrate our approaches, two particular cases (corresponding to nilpotent codimension 3 saddle and elliptic case, respectively) are proved where the upper bound of the number of limit cycles is two. 

 

报告人简介黄继才教授1999年、2002年分别本科、硕士毕业于华中师范大学数学系,2005年获得中国科学院数学与系统科学研究院数学所博士学位。现为华中师范大学教授、博士生导师。黄教授主要从事常微分方程定性理论、分支理论及其应用研究。先后在 JDESIAPDCDS-BJMAABMB等期刊发表学术论文二十多篇,先后主持国家自然科学基金4项。

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