This talk considers the dynamics of large complex networks that are characterized by topological symmetries. First, the case is considered of a network of coupled oscillators that synchronize in clusters. An analysis is presented to characterize which clusters of synchronization will emerge and their stability. The analysis can be extended to the case that several patterns of cluster synchronization are possible for a given network and to understand the transitions from one pattern to another. The second part of this talk considers different types of network dynamics, such as communication networks. It is shown that under certain assumptions, the underlying network symmetries can affect the communication dynamics time-evolution.  

Biography

Francesco Sorrentino received a PhD in Control Engineering from the University of Naples Federico II (Italy). He was first a postdoc and then visiting assistant professor at the Nonlinear Dynamics and Chaos group at the University of Maryland at College Park. In 2008 he became assistant professor at the University of Napoli Parthenope. In 2012 he joined the Department of Mechanical Engineering at the University of New Mexico. His research primarily focuses on cutting-edge topics in Nonlinear Dynamics and Chaos Theory. His work includes studies on dynamics and control of complex networks, adaptive sensor networks, adaptation in complex systems, optimal control, and symmetries of complex networks. Other subjects of interest are the dynamics of large networks of coupled neurons and evolutionary game theory.