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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.32: Poster

Donnerstag, 11. März 2004, 16:00–18:00, Poster D

Universal behavior in complex front systems — •Andreas Amann, Andreas Wacker, and Eckehard Schöll — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D–10623 Berlin

We show that the bifurcation scenario in a high-dimensional system with interacting 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 [1], 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.

[1] A. Amann, K. Peters, U. Parlitz, A. Wacker, E. Schöll Phys. Rev. Lett. 91, 066601 (2003).