Crises cascades within robust chaos
in piecewise-smooth maps
This article describes a novel bifurcation phenomenon occurring
in the 2D parameter space of piecewise-linear maps. In the region of
chaotic behavior we detect an infinite number of interior crises
bounding the regions of multi-band attractors. This phenomenon,
denoted as bandcount adding scenario, leads to a self-similar
structure of the chaotic region in the parameter space.