Control of self-organizing nonlinear systems: Theoretical methods and concepts of application
The Collaborative Research Center 910 was funded by the German Research Foundation (DFG) from 2011 until 2022 and ended on December 31, 2022, after 12 years of succesful scientific cooperation.
Speaker 2018 - 2022:
Prof. Dr. Sabine Klapp (TU Berlin)
sabine.klapp(at)tu-berlin.de
Speaker 2011 - 2017:
Prof. Dr. Dr. h.c. Eckehard Schöll, PhD (TU Berlin)
Managing Director:
Henning Reinken (TU Berlin)
henning.reinken(at)itp.tu-berlin.de
Coordinating Institution:
Technische Universität Berlin
Participating Institutions:
Technische Universität Berlin
Freie Universität Berlin
Weierstrass Institute for Applied Analysis and Stochastics
Physikalisch-Technische Bundesanstalt
Saratov State University
Humboldt Universität Berlin
The overarching goal of the Collaborative Research Center 910 is to control dissipative structures in nonlinear dynamical systems far from thermodynamic equilibrium. Such systems are widespread in physics, chemistry and biology. They often exhibit self-organisation, i.e., the spontaneous emergence of temporal, spatial, or spatio-temporal structures from the inherent nonlinear cooperative dynamics. With this CRC we go beyond merely describing the intriguing dynamics of self-organizing nonlinear systems: by combining an interdisciplinary team of applied mathematicians, theoretical physicists, and computational neuroscientists we aim at developing novel theoretical approaches and methods of control, and demonstrating the application of these concepts to a selection of innovative self-organizing systems ranging from condensed hard and soft matter to biological systems. To meet these challenges, we are merging and advancing concepts from the control of nonlinear dynamical systems, the classical mathematical control and optimisation theory, and coherent quantum control. A particularly important concept is feedback control (closed-loop control) where unstable states are stabilized adaptively by using the internal dynamics; an example is time-delayed feedback control. Our focus is on theoretical and methodological developments from a conceptual point of view (project group A) and with a perspective on applications (project group B). Our key areas of application are quantum systems and topological quantum information processing, active and turbulent fluids, and various types of networks. The CRC 910 involves 17 scientific projects and an integrated research training group.