GRK 247:  Nonlinear Continuous Systems and their Investigation with Numerical, Qualitative and Experimental Methods

• Subject Area: Condensed Matter Physics
• Term: from 1995 to 2004
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 271207

Nonlinear continuous systems are of greatest importance for nearly allnature sciences and for many other fields. So far, there is a lack ofsufficient systematic investigation and satisfactory understanding ofsuch systems. Nowadays, this seems to be possible because of newmathematical analytical methods, fast numerical tools and efficientimage recording and processing. Nonlinear systems with many degrees offreedom are examined with the goal to obtain a universal understanding.Of special importance are reaction diffusion systems, optical systems,quantum systems, problems of deconvolution and inverse scatteringprocesses as well as the propagation of nonlinear waves. The treatmentof self-organized patterns and their bifurcation behaviour is animportant issue. In addition, the qualitative and quantitativecomparison of experiment and theory is of great importance. Finally,attention is given to potential application in physics, technology,environmental protection and medicine.

• DFG Programme: Research Training Groups
• Applicant Institution: Universität Münster
• Spokesperson: Professor Dr. Hans-Georg Purwins
• Participating Researchers: Professor Dr. Colin Walker Cryer; Professorin Dr. Cornelia Denz; Professor Dr. Ulrich Hansen; Professor Dr. Tilmann Kuhn; Professor Dr. Wulfhard Lange; Professor Dr. Helmut Maurer; Professor Dr. Gernot Münster; Professor Dr. Frank Natterer