Loading...
Loading...

Go to the content (press return)

Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds

Type of activity
Theses
Doctorate programme unit
School of Mathematics and Statistics (FME)
Other related units
Department of Applied Mathematics I
Defense's date
2012-09-17
Award
2014 UPC Phd award
URL
http://hdl.handle.net/2117/95178 Open in new window
Abstract
In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special type of organizing centers consisting on points in parameter space with co-dimension higher than one from which an infinite number of bifurcation curves emerge. These separate existence regions of periodic orbits with arbitrarily large periods. We show how a mechanism for their occurrence in piecew...
Group of research
SD - UPC Dynamical Systems
Citation
Granados Corsellas, A. "Local and global phenomena in
piecewise-defined systems: from big
bang bifurcations to splitting of
heteroclinic manifolds". Tesi doctoral, UPC, Departament de Matemàtica Aplicada I, 2012.

Participants

Attachments