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Crises cascades within robust chaos in piecewise-smooth maps

Michael Schanz
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.
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