88304am永利集团

Given a one-parameter family of flows over a parameter interval Λ, assuming there is a continuation of Morse decompositions over Λ, Reineck (1988) defined a singular transition matrix to show the existence of a connecting orbit between some Morse sets at some parameter points in Λ. This talk aims to extend the definition of a singular transition matrix in cases where there is no continuation of Morse decompositions over the parameter interval. This extension will help study the bifurcation associated with the change of Morse decomposition from a topological dynamics viewpoint.

余杨鸿，京都大学硕士研究生，现为东京工业大学博士。主要研究方向是动力系统的分岔理论，Conley index和转移矩阵。