Regensburg 2004 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 34: Nonlinear Dynamics and Chaos I
DY 34.6: Vortrag
Mittwoch, 10. März 2004, 15:45–16:00, H2
Spatio-Temporal Structures in a Biological Model with Delay and Diffusion — •Martin Ohlerich1, Michael Bestehorn1 und Elena Grigorieva2 — 1Lehrstuhl Theoretische Physik II, BTU Cottbus, Erich-Weinert Strasse 1, 03046 Cottbus, Germany — 2Belarus State University, Department of Physics, 220050 Minsk, Belarus
Pattern formation described by differential-difference equations with
diffusion is investigated. It is shown that an arbitrarily small
diffusion induces space-time turbulence just at instability threshold of
the
homogeneous stationary solution. We prove this property deriving a complex
Ginzburg-Landau equation on the basis of normal form analysis. Well above
threshold, such turbulent structures give way to synchronized states
ordered by spirals and targets.
paper submitted to Phys. Rev. E