Bendixson Conditions for Differential Equations in a Banach Space [ Back ]

Date:
08.03.21   
Times:
16:00
Place:
Online seminar
Speaker:
James Muldowney
University:
University of Alberta
Web Site:
http://zoom.us/j/95097039724?pwd...

Abstract

A Bendixson Condition precludes the invariance of Jordan curves with respect to the dynamics of a differential equation $x'= f(x)$. Thus, for example, non-constant periodic orbits and homoclinic cycles are ruled out. As we know, for 2-dimensional systems if $div f$ is non-zero in a simply connected open set U in the plane, we know that there are no periodic orbits in U. We will explore such conditions in various finite and infinite dimensional spaces.

Video of the talk.