SFB 555:  Complex Nonlinear Processes. Analysis - Simulation - Control - Optimization

• Subject Area: Physics
• Term: from 1998 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5482452

The main topic of the investigations of this collaborative research centre is the analysis of space-time structures from a physically theoretical, experimental and applied mathematical point of view. This has to be understood in the context of interdisciplinary research between physics, chemistry and biophysics. One of the main focusses is directed on questions of how to influence and control complex systems via feedback mechanisms and what will be the answer of the systems than. Furthermore the reaction of complex systems on external perturbations will be investigated.
The overall themes which pertain to our interdisciplinary work are: influence of global and non local coupling on structure formation; synchronization phenomena in chaotic and stochastic dynamics; control of excitable systems with external forces like light pulses or periodic and fluctuating signals; anomal correlations and diffusion in Hamiltonian and oscillator chains; microscopic modeling of processes which form structures on the basis of stochastic methods; development of optimization methods for nonlinear dynamics; bifurcation points and noise-induced transitions in conceptual model studies and space-time chaos in connection with noise; chaos control and control of processes forming structures via immediate and time-delayed feedback; theoretical preparation of elaborate experiments and observations respectively.

• DFG Programme: Collaborative Research Centres

Completed projects

• A01 - Transport and Nucleation of spatio-temporal structures in stochastic excitable media (Project Heads Engel, Harald ;  Schimansky-Geier, Lutz )
• A3 - Selbstorganisierte Strukturbildung durch strahlungsgesteuerte Physenübergänge (Project Head Sedlmayr, Erwin )
• A04 - Non-Markovian Models of Bistable, Multistable and Excitable Systems with Long-Correlated Signals (Project Heads Schimansky-Geier, Lutz ;  Sokolov, Igor M. )
• A06 - Chaos-Synchronization and Control of Coupled Semiconductor Lasers (Project Heads Henneberger, Fritz ;  Wünsche, Hans-Jürgen )
• A07 - Analysis of Spatio-Temporal Patterns: Kinematics and Control (Project Heads Fiedler, Bernold ;  Liebscher, Stefan )
• A08 - Oszillationen und Wellen in interagierenden Zellen (Project Heads Heinrich, Reinhart ;  Höfer, Thomas )
• A10 - Models of Random Pertubations and the Induced Dynamics of Nonlinear Systems (Project Heads Imkeller, Peter ;  Sokolov, Igor M. )
• B01 - Time-delayed feedback control: Applications to optoelectronics, nanosystems, and excitable dynamics (Project Head Schöll, Eckehard )
• B02 - Analytical and Numerical Analysis of Spatio-Temporal Phenomena in Coupled Semiconductor Lasers (Project Heads Recke, Lutz ;  Wolfrum, Matthias )
• B03 - Self-organization Processes at Active Interfaces (Project Heads Bär, Markus ;  Mikhailov, Alexander S. )
• B4 - Analyse und Steuerung der Musterbildung an Elektroden-Oberflächen (Project Heads Eiswirth, Ralf Markus ;  Krischer, Katharina )
• B06 - Dynamics and Control of Self-organizedWavepatterns in Active Media (Project Head Engel, Harald )
• B07 - Steuerung biologischer Reations-Diffusionswellen unter Anwendung der Prinzipien chemischer Erregbarkeit (Project Heads Mair, Thomas ;  Müller, Stefan C. )
• B08 - Selbstorganisierte Strukturbildung durch strahlungsgesteuerte Phasenübergänge (Project Head Sedlmayr, Erwin )
• B09 - Stochastic Modeling of Intracellular Calcium Dynamics: Nucleation Probabilities of Waves in discrete excitable Media (Project Head Falcke, Martin )
• C01 - Nonlinear Climate Dynamics: Data Analysis and Modeling (Project Heads Kurths, Jürgen ;  Rahmstorf, Stefan )
• C03 - Synchronization in Systems with Multiple Time Scales (Project Heads Pikovsky, Arkady ;  Rosenblum, Michael )
• C04 - Uncertainties in Earthquake-Modeling and Probabilistic Seismic Riskanalysis (Project Heads Holschneider, Matthias ;  Kurths, Jürgen ;  Reich, Sebastian )
• C07 - Nichtlineare Dynamik räumlich ausgedehnter Ökosysteme (Project Head Blasius, Bernd )
• Z - Verwaltung (Project Head Schimansky-Geier, Lutz )

• Applicant Institution: Humboldt-Universität zu Berlin
• Participating University: Freie Universität Berlin; Technische Universität Berlin; Universität Potsdam
• Participating Institution: Fritz-Haber-Institut der Max-Planck-Gesellschaft (FHI); Helmholtz-Zentrum Berlin für Materialien und Energie; Potsdam-Institut für Klimafolgenforschung (PIK); Physikalisch-Technische Bundesanstalt (PTB); Standort Berlin; Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS); Leibniz-Institut im Forschungsverbund Berlin e. V.
• Spokesperson: Professor Dr. Lutz Schimansky-Geier (†)