Spatio-temporal patterns encompass a plethora of phenomena in Sciences and Engineering. Their mathematical 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 networks. 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.
DFG Programme
Collaborative Research Centres
