B11: Dynamics of nonlinear networks and active media in the presence of noise: synchronization, control and diagnostics
Prof. Dr. Vadim S. Anishchenko 
Prof. Dr. Tatiana E. Vadivasova 
Noise can significantly influence the dynamics of complex nonlinear systems. We study noise effects in distributed oscillatory systems, active media, and complex nonlinear networks with random connections and consider how external influences control their behavior. The diagnostics and characterization of the complex irregular behavior as well as dynamical changes related to control problems require advanced data processing tools. We address this problem with the statistics of Poincaré return times and wavelet-based techniques aiming to develop new methods for diagnosing the functioning regimes and characteristics of nonlinear systems.