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Bifurcations in a System of Interacting Fronts

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Abstract

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 case the bifurcation points can be determined analytically.

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  1. A. Amann

    Present address: Tyndall National Institute, Lee Maltings, Cork, Ireland

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  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany

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Amann, A., Schöll, E. Bifurcations in a System of Interacting Fronts. J Stat Phys 119, 1069–1138 (2005). https://doi.org/10.1007/s10955-005-4405-2

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