糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: Carsten Grabow (Göttingen)
Speaker: Carsten Grabow (Göttingen)
Title: Impact of Complex Network Topology on Synchronization Dynamics
Abstract:
Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. What impact does the network topology have on this time scale? Here, the small-world model allows for a study of network topologies ranging from completely ordered, grid-like, to completely disordered, random, including intermediate, partially disordered topologies. Although the small-world models based on rewiring have received massive attention both theoretically and in applications, for most of their features analytical predictions are not known to date. In particular, the spectrum of small-world Laplacians - characterizing fundamental asymptotic features - has only been studied for several specific cases and numerically, but a general derivation of reliable analytic predictions is still missing. An analytic mean-field theory for the spectra of small-world models closes this gap. This theory may provide analytical insights to empirically found features of dynamics on small-world networks from various research fields, including biology, physics, engineering and social science.
Lunch: Group 3