"Matière et Systèmes Complexes"
27 mars 2008 à 11h
Bâtiment Condorcet, 4ème
étage, salle 454 A.
Dynamical Networks: interplay of
topology, interactions and local dynamics
develop a symbolic dynamics approach to the studies
of dynamical networks with arbitrary topology (structure of the graph
approach is a development of the one
introduced by Sinai and the speaker to the studies of Coupled Map
Lattices, where the graph of interactions is just a lattice. The new
approach allows to analyse a combined
effect of all three features which characterize a dynamical
network (complexity of its topology and the strengthes if local
dynamics and interactions). The networks are of the most general type,
e.g. the local systems and interactions need not to be homogeneous. nor
restrictions are imposed on a structure of the graph of interactions.
obtain general conditions on stability of dynamical networks and
demonstrate that some subnetworks can evolve regularly while the others