A3: Emergence and control of spatio-temporal dynamics in systems with delay

Principal investigator:

Dr. Serhiy Yanchuk

Project summary:

Systems with time-delay can exhibit complicated spatio-temporal dynamics on multiple time scales. The main goal of this project is twofold: (i) Describing the appearance and properties of spatio-temporal patterns, in particular those arising due to the delay induced multiple-scale structures, e.g. long delay, multiple delays, etc; (ii) Designing new methods and analyzing the applicability of existing feedback control methods for the control of spatio-temporal dynamics in systems with delay. The obtained results will be applied to such fields as dynamics of semiconductor lasers and dynamics of neural networks.