DFG Collaborative Research Center 910 on
Control of self-organizing nonlinear systems

Research Project

Spatio-temporal patterns: observation, control, and design

Research director

Prof. Dr. Bernold Fiedler

Dr. Isabelle Schneider

Members

Alejandro López Nieto

Nicola Vassena

Dennis Chemnitz

Summary

Spatio-temporal patterns encompass a plethora of phenomena in Sciences and Engineering. Their math- ematical understanding is comparably limited, mostly to patterns in partial differential equations of reaction-diffusion type, and to ordinary differential equations on very regular, symmetric, or small net- works. In marked contrast to more traditional lines of research, our goal is a qualitative approach to open loop and feedback control, including networks and beneficial delays, and ultimately the rational design of spatial and temporal patterns of applied relevance. We therefore address three areas: delayed feedback control, qualitative analysis of networks, and design and control of global dynamics.

Preprints and Publications