Resilience of network synchronization against structural and dynamical perburbations

Held by Prof. Dr. Jie Sun (Clarkson University, USA)
12.12.2017, 12:30 Uhr
EW 733

Abstract:

Synchronization of network coupled systems is an important research topic, especially given its broad engineering and biological applications, for example in brain waves, power grids, and animal behavior. In practice, a system almost never operates in the absence of changes or perturbations, and consequently, a central question is how these perturbations might affect synchronization. Existing work through the use of master stability analysis focuses either on a network's synchronizability (resilience against change of coupling strength) or linear stability of synchronization (resilience against infinitesimal dynamical perturbations). In this work, we focus on general structural and dynamical perturbations, providing analytical tools to measure their effects on network synchronization, and show (through numerical simulations) that interesting nonlinear correlation seems to exist between a network's structural and dynamical resilience. To illustrate the importance of our analysis, we show examples of where cospectral networks, whose synchronization properties are identical under master stability analysis, nevertheless exhibits drastically synchronization dynamics: some synchronize slower than the others, and some do not synchronize at all (despite being predicted otherwise using corresponding linearized dynamics).