The monotonicity of the period function and its application
数学专题报告
报告题目(Title)：The monotonicity of the period function and its application
报告人(Speaker)：刘长剑（中山大学（珠海））
地点(Place)：后主楼 1223
时间(Time)：7月13日下午15：30-17：00
邀请人(Inviter)：赵丽琴
报告摘要
In this talk, wo will study the monotonicity of the period function of planar systems. Firstly,we will show that quadratic generalized Lotka-Volterra systems without complex invariant lines have the monotone period functions, which can be viewed as a step to solve a conjecture proposed by Chicone. Secondly, we will show that the method to prove the monotonicity of the period function can be used to deal with orbital stability of smooth solitary waves for the b-family of Camassa–Holm equations. In fact, we will prove that for $b\geq 1$, any smooth solitary wave is orbital stable, which gives a positive answer to the open problem proposed by Lafortune and Pelinovsky.
主讲人简介
刘长剑教授，现任中山大学数学学院（珠海）副院长，北京大学和法国里尔大学联合培养博士，主要从事常微分方程定性理论的研究工作，已主持多项国家自然科学基金面上项目， 在Nonlinearity, J. Diff. Equa.，Dis. Cont. Dyn. Sys.，Physica D等高水平杂志上发表多篇学术论文。
