Dynamical Systems and Network Analysis
Participants
- Fatihcan Atay (coordinator)
- Frank Bauer
- Pierre-Yves Bourguignon (CNRS-MPG Program on Systems Biology)
- Anna Levina
- Eckehard Olbrich
- Stephan Poppe
- Christian S. Rodrigues
Graduate students
- Philipp Benner
- Özge Erdem
- Danijela Horak
- Martin Kell
- Ilona Kosiuk
- Yangjing Long
- Philipp-Jens Ostermeier (VW Project)
- Johannes Rauh (coordinator VW; cooperation with the Information Theory of Cognitive Systems Group (Nihat Ay))
- Camilo Eduardo Sarmiento Cortés
- Lorenzo Taggi
- Mario Thüne (BMBF Project ELPA)
- Hande Tunçel
- Anatol Wegner
Topics
- Structure formation (with tools from dynamical systems, partial di erential equations, statistical physics)
- Synchronization and coordination mechanisms in nonlinear dynamics; coupled dynamical networks; learning dynamics; applications to neurobiology
- Spectra of graphs and simplicial complexes; applications to network analysis
- Statistical properties of graph ensembles; connections with information geometry
- Perturbations and bifurcation analysis of dynamical systems; stochastic dynamics
- Statistical analysis; adaptive sampling; connections with information geometry
External funding
- Volkswagen-Stiftung: "Evolution of networks: Modelling the complexity and robustness of evolving biochemical networks" - joint project with the Information Theory of Cognitive Systems Group (Nihat Ay) and the Bioinformatics group at the Leipzig University (Peter Stadler, Konstantin Klemm)
- CNRS-MPG Program on Systems Biology
- ELPA (Hochskalierbare Eigenwertlöser für Petflop-Anwendungen, Bundesministerium für Bildung und Forschung)
