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B6: Control of travelling and rotating waves in spatially extended nonlinear systems
Principal
investigators:
Prof. Dr. Harald Engel [1]
Prof. Dr. Fredi Tröltzsch [2]
Project
summary:
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.
rameter/de/font2/minhilfe/