This work contributes to classify the dynamic behaviors of piecewise smooth systems in which border collision bifurcations characterize the qualitative changes in the dynamics. A central point of our investigation is the intersection of two border collision bifurcation curves in a parameter plane. This problem is also associated with the continuity breaking in a fixed point of a piecewise smooth map. We will relax the hypothesis needed in  where it was proved that in the case of an increasing/decreasing contracting functions on the left/right side of a border point, at such a crossing point, we have a big-bang bifurcation, from which infinitely many border collision bifurcation curves are issuing.
|Conference||European Conference on Iteration Theory (ECIT 2010)|
|Period||12/09/2010 → 17/09/2010|
|Series||ESAIM: Proceedings and Surveys|
- Piecewise smooth maps
- Border collision bifurcations
- Organizing centers