**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Wednesday, September 7, 2016 — 3:00 PM EDT

MC 5417

Kevin Church

Applied Mathematics, University of Waterloo

Bifurcations in impulsive systems

Impulsive differential equations are frequently used to model phenomena that exhibit changes in state on small time scales relative to the overall system dynamics. Bifurcation theory is the study of qualitative changes of solutions of dynamical systems due to variation of system parameters. Classical bifurcation theory of smooth ordinary differential equations and difference equations assumes an autonomy (a lack of explicit time dependence) of the vector field or map in question. For this reason, different techniques are needed to study bifurcations in general impulsive systems. The purpose of this seminar is to provide a general background on smooth bifurcation theory and its applications. Following this, we demonstrate the need for a bifurcation theory for impulsive systems.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.