2024-03-29T16:02:55Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/459702016-10-25T07:37:27Zcom_10261_2855com_10261_4col_10261_2857
General coevolution of topology and dynamics in networks
Herrera, José Luis
Cosenza, Mario G.
Tucci, K.
González-Avella, Juan Carlos
Texto completo ArXiv Number: arXiv:1102.3467v1
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 voter-like 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 the 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.
2012-02-21T08:52:55Z
2012-02-21T08:52:55Z
2011
artículo
Europhysics Letters 95(5): 58006 (2011)
0295-5075
http://hdl.handle.net/10261/45970
10.1209/0295-5075/95/58006
1286-4854
eng
http://dx.doi.org/ 10.1209/0295-5075/95/5800
openAccess
Institute of Physics Publishing