Bifurcations in a system of interacting fronts

@inproceedings{AmannBifurcationsIA,
  title={Bifurcations in a system of interacting fronts},
  author={Andreas Amann and Eckehard Sch{\"o}ll}
}
We show that the bifurcation scenario in a high-dimensional system with interacting moving fronts can be related to the universal U-sequence which is known from the symbolic analysis of iterated one-dimensional maps. This connection is corroborated for a model of a semiconductor superlattice, which describes the complex dynamics of electron accumulation and depletion fronts. By a suitable Poincaré section we reduce the dynamics to a low dimensional iterated map, for which in the most elementary… CONTINUE READING

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