Nonlinear Dynamics in Networks with Complex Topologies
Networks consist of nodes, interconnected by a mesh of links. Their macroscopic behaviour is determined by both the dynamical rules governing the nodes and the flow occurring along the links.
Real networks of interacting dynamical systems - be they neurons, power stations, lasers, or computers - are complex. Complexity may come from different sources: topological structure, network evolution, connection and node diversity, and/or dynamical evolution. Most networks offer support for various dynamical processes.
In this research we propose to study dynamical processes in non-trivial complex network topologies, developing theoretical and computational methods for modeling dynamics of networks and flows on networks.