Bandcount incrementing scenario revisited and floating regions within robust chaos
When dealing with piecewise-smooth systems, the chaotic domain often does not contain any periodic inclusions, which is called "robust chaos". Recently, the bifurcation structures in the robust chaotic domain of ID piecewise-linear maps were investigated. It was shown that several regions of multi-band chaotic attractors emerge at the boundary between the periodic and the chaotic domain, forming complex self-similar bifurcation structures. However, some multi-band regions were observed also far away from this boundary. In this work we consider the question how these regions emerge and how they become disconnected from the boundary. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
bandcount incrementing scenario robust chaos piecewise smooth maps crises bifurcations border collision bifurcations