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

Granados Corsellas, Albert (Date of defense: 2012-09-17)

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 ...