Description of the Group Activity:
Driven dynamics on graphs represents more closely complex dynamical sytems
and network's function. In general, the properties of the process depend
on the complexity of the underlying network.
The network geometry makes
severe constraints to the dynamics by restricting the interaction pathways
along the inhomogeneous organization of links.
The network's topological inhomogeneity can be beneficial for the dynamics,
as for instance, in the case of information transport with search and
"wise" random walks.
Another type of dynamics is represented by node-to-node interactions,
as in spin networks, gene expression networks, and agent exchange
processes on complex environment. Our research aims to anravel
the role of topology in various dynamic processes on networks and network
topology-function optimization.
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