Control of travelling and rotating waves in spatially extended nonlinear systems (B06)

• Subject Area: Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
• Term: from 2011 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

We aim at controlling self-organized spatio-temporal patterns in active media. In particular, we guide non-linear waves and moving localized spots according to a given protocol of movement within two- and three-dimensional domains. To reach our control goals we apply methods based on multiple scale perturbation theory for position and shape control and exploit the powerful methods of optimal control of partial differential equations including sparse control and pointwise state constraints. Additionally, we investigate the impact of spatial confinement on wave and spot dynamics and study reaction-diffusion processes in small compartments.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 910: Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Harald Engel; Professor Dr. Fredi Tröltzsch