Coevolution of dynamical states and interactions in dynamic networks

Details Coevolution of dynamical states and interactions in dynamic networks Coevolution of dynamical states and interactions in dynamic networks

2004-05-17

arxiv.org/abs/cond-mat/0405370v1

Physical Review E 69, 065102(R) (2004)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 5 figures, for related material visit http:www.imedea.uib.es/physdept/

Scientific paper

10.1103/PhysRevE.69.065102

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the outcome of the game. As an example we consider a model of cooperation, where the adaptation is shown to facilitate the formation of a hierarchical interaction network that sustains a highly cooperative stationary state. The resulting network has the characteristics of a small world network when a mechanism of local neighbor selection is introduced in the adaptive network dynamics. The highly connected nodes in the hierarchical structure of the network play a leading role in the stability of the network. Perturbations acting on the state of these special nodes trigger global avalanches leading to complete network reorganization.

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