Dynamical Systems Seminar: Transition Matrix without Continuation in the Conley Index Theory

Speaker: Yanghong Yu (Institute of Science Tokyo)

Abstract – Given a one-parameter family of flows over a parameter interval, assuming there is a continuation of Morse decompositions over the parameter interval. Reineck (1988) defined a singular transition matrix to show the existence of a connection orbit between some Morse sets at some parameter points in the parameter interval. My presentation 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.

Time: 22.4, 16:10

Location: 1710
Zoom Meeting ID: 844 0594 7424 (Passcode: 076895)