Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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MPI Kolloquium

Wednesday, 01.02.2006 17 c.t.

Complex Structures in Pattern-Forming Systems: Defects and Bursts

by Prof. Dr. Hermann Riecke
from Max-Planck-Institut für medizinische Forschung, Heidelberg und Northwestern University, Evanston, USA

Contact person: Fred Wolf

Location

Seminarraum Haus 2, 4. Stock (Bunsenstr.)

Abstract

Many physical, chemical, and biological systems undergo transitions from a spatially homogeneous state to states that exhibit spatio-temporal structures. In simple cases the resulting patterns are ordered in space and time. Often, however, they are spatio-temporally chaotic. What is the origin of such states, what mechanisms maintain them, how can they be characterized? For patterns that are stripe-like (lamellar) these questions have been addressed in quite some detail. I will present our results for spatio-temporal chaos associated with patterns with hexagonal planform and will focus on spatio-temporal chaos in non-Boussinesq fluid convection. There the systematic reduction to equations of the Ginzburg-Landau type provides detailed insight into the dynamics, which are characterized by defects and by bursts.

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