Berlin 2015 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 42: Delay and Feedback Dynamics
DY 42.5: Talk
Thursday, March 19, 2015, 10:45–11:00, BH-N 128
Dynamical behaviors in time-delay systems with delayed feedback and digitized coupling — •Chiranjit Mitra1, G. Ambika2, and Soumitro Banerjee1, 3 — 1Indian Institute of Science Education and Research, Kolkata 741246, India — 2Indian Institute of Science Education and Research, Pune 411008, India — 3King Abdulaziz University, Jeddah, Saudi Arabia
We consider a network of delay dynamical systems connected in a ring via unidirectional positive feedback with constant delay in coupling. For the specific case of Mackey-Glass systems on the ring topology, we capture the phenomena of amplitude death, isochronous synchronization and phase-flip bifurcation as the relevant parameters are tuned. Using linear stability analysis and Master Stability Function approach, we predict the region of amplitude death and synchronized states respectively in the parameter space and study the nature of transitions between the different states. For a large number of systems in the same dynamical configuration, we observe splay states, mixed splay states and phase locked clusters. We extend the study to the case of digitized coupling and observe that these emergent states still persist. However, the sampling and quantization reduce the regions of amplitude death and induce phase-flip bifurcation.