Séminaire (Physique) : Hierarchical pattern formation

Organisé par le laboratoire Institut Nonlinéaire de Nice
Quand ? Le 21-03-2014,
de 11:00 à 12:00
Où ? Institut Nonlinéaire de Nice, 361 routes des Lucioles, Sophia Antipolis, Valbonne
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Summary 

 

Our playground consists in a set of nonlinear Kuramoto's oscillators, not necessarily identical, which are linearly coupled one with each other through a network of connections.


The connections are weighted and directed such that between two coupled oscillators exists the notion of leader and follower, of master and slave.

Among the numerous dynamical regimes, we focus on the synchronized solution which is characterized by a locking in phase of all the non-linear oscillators. We investigate the dynamical and structural stability of this synchronized behavior and especially, we study the way the geometry of the connection network influences its stability.

 

In the framework of this model, we can then compare democratic and pyramidal organizations and explain why the latter, although less stable, may persists from an evolutionist point of view.