Large Fluctuations and Rare Events in Complex Networks
speaker: Ira Schwartz (University of Maryland)abstract: Noise-induced large fluctuations occur in systems across many fields and over many length scales. They can range from desynchronization in power-grid networks and milling patterns in autonomous swarms at the macroscale to alternating coupled neurons used to model perception at the microscale. An important class of dynamical systems that model such noise-induced behavior are networks with very heterogeneous topological properties and local parameters. Importantly, noise-induced large fluctuations can give rise to dramatic events such as extinction of networked epidemics and species, switching between different collective network states, and-or complete collapse of network functionality and structure. In this talk, I will review some of our recent general results in noise-induced fluctuations in complex networks. In particular, I will discuss how these results lead to new scalings of the probability occurrence of rare, large fluctuations in: mixed-reality coupled systems with asymmetric noise, switching and control of large fluctuations in complex networks, and large fluctuations to extinction in adaptive networks. My main collaborators for this work are: Jason Hindes, Klimka Szwaykowska, Thomas Carr and Leah Shaw.
timetable:
Mon 17 Sep, 15:30 - 16:15, Aula Dini
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