Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2011-02-17
EPL 95, 58006 (2011)
Nonlinear Sciences
Adaptation and Self-Organizing Systems
6 pages, 6 figures
Scientific paper
10.1209/0295-5075/95/58006
We present a general framework for the study of coevolution in dynamical systems. This phenomenon consists of the coexistence of two dynamical processes on networks of interacting elements: node state change and rewiring of links between nodes. The process of rewiring is described in terms of two basic actions: disconnection and reconnection between nodes, both based on a mechanism of comparison of their states. We assume that the process of rewiring and node state change occur with probabilities Pr and Pc respectively, independent of each other. The collective behavior of a coevolutionary system can be characterized on the space of parameters (Pr, Pc). As an application, for a voterlike node dynamics we find that reconnections between nodes with similar states lead to network fragmentation. The critical boundaries for the onset of fragmentation in networks with different properties are calculated on this space. We show that coevolution models correspond to curves on this space describing functional relations between Pr and Pc. The occurrence of a one-large-domain phase and a fragmented phase in the network is predicted for diverse models, and agreement is found with some earlier results. The collective behavior of system is also characterized on the space of parameters for the disconnection and reconnection actions. In a region of this space, we find a behavior where different node states can coexist for very long times on one large, connected network.
Cosenza M. G.
Gonzalez-Avella Juan Carlos
Herrera Jose L.
Tucci Kay
No associations
LandOfFree
General coevolution of topology and dynamics in networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with General coevolution of topology and dynamics in networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General coevolution of topology and dynamics in networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-379905