Résumé : A fundamental problem in complex systems is to understand how many interacting components organize to produce a coherent behavior at a macroscopic level. Basic examples include polarization (e.g. spin alignment) and synchronization (e.g. phase locking for rotators). A less understood phenomenon of self-organization consists in the emergence of periodic behavior in systems whose units have no tendency to evolve periodically.
We will discuss some dynamical features of a two-population generalization of the mean field Ising model with the scope of investigating simple mechanisms capable to generate a rhythm in large groups of interacting individuals. In particular, we aim at understanding the role of interaction network topology and interaction delay in enhancing the creation of rhythms.
Joint work with Marco Formentin (Padova) and Daniele Tovazzi (Padova).
Département de Mathématiques Bâtiment 425
Faculté des Sciences d'Orsay Université Paris-Sud
F-91405 Orsay Cedex
Tél. : +33 (0) 1-69-15-79-56