学术预告：Jaume Llibre教授谈“LIMIT CYCLES IN DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO PIECES SEPARATEDBY A STRAIGHT LINE”

报告时间： 2016年10月8号（周四）上午9:30

报告地点：下沙校区D204 学术报告厅

摘要：

Firstly, we shall present what it is known about the limit cycles of the discontinuous piecewise linear differential systems with two pieces separated by a straight line. Secondly, we shall describe briefly four different techniques for computing analytically the limit cycles of the mentioned discontinuous piecewise linear differential systems, based on the averaging theory or Melnikov integral, the first integrals, the Poincar´e map, and the Poincar´e map plus the Newton Kantorovich Theorem.

专家简介：

Jaume Llibre教授为著名数学家，西班牙皇家科学院院士，现为巴塞罗那自治大学数学系教授，主要研究领域为动力系统、天体力学，已发表论文150多篇。Jaume Llibre教授为该领域的国际领军人物，在相关领域做出了重要贡献。