Abstract: Collective behavior in large ensembles of network-coupled dynamical systems remains an active area of research in the nonlinear dynamics and networks science communities. Example applications include both naturally-occurring and man-made systems, e.g., cardiac pacemakers, synthetic cell engineering, and power grids. Researchers’ efforts have illuminated rich nonlinear phenomena in heterogeneous oscillator systems, but important practical questions remain, including: (i) How can heterogeneous oscillator networks be optimized for synchronization? and (ii) What is the most efficient protocol for controlling heterogeneous oscillator networks? In this talk I will explore these important questions and highlight a number of surprising outcomes. Central to this work is the development of the Synchrony Alignment Function, a theoretical tool and objective measure of collective behavior that quantifies the interplay between a complex network structure and the heterogeneous internal dynamics of each oscillator. We’ll explore grass-roots methods for optimizing synchronization dynamics, applicability to limit-cycle and chaotic oscillators, and dual approaches to network control.
Noyce Conference Room
US Mountain Time
Our campus is closed to the public for this event.
Sebastian SkardalAssociate Professor at Trinity College