Hamburg 2001 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.42: Poster
Donnerstag, 29. März 2001, 15:45–18:15, Foyer S\ 3
Spatio–temporal dynamics near a supercritical Turing–Hopf bifurcation in a two–dimensional reaction–diffusion system — •Eckehard Schöll1, Wolfram Just1,2, Miriam Bose1, Sumit Bose1, and Harald Engel1 — 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin — 2School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, London E1 4NS, United Kingdom
Pattern formation in semiconductor heterostructures is studied on the basis of a spatially two–dimensional model of reaction–diffusion type. In particular, we investigate the neighbourhood of a codimension–two Turing–Hopf instability by analytical methods. Amplitude equations are derived which predict the absence of mixed modes but extended ranges of bistability between homogeneous oscillatory states and hexagonal Turing patterns. Our results are confirmed by numerical simulations.