TY - JOUR
T1 - On co-evolution and the importance of initial conditions
AU - Lambiotte, R.
AU - Gonzlez-Avella, J.C.
N1 - Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/1/15
Y1 - 2010/1/15
N2 - We present a generic threshold model for the co-evolution of the structure of a network and the binary state of its nodes. We focus on regular directed networks and derive equations for the evolution of the system toward its absorbing state. It is shown that the system displays a transition from a connected phase to a fragmented phase, and that this transition is driven by the initial configuration of the system, as different initial conditions may lead to drastically different final configurations. Computer simulations are performed and confirm the theoretical predictions.
AB - We present a generic threshold model for the co-evolution of the structure of a network and the binary state of its nodes. We focus on regular directed networks and derive equations for the evolution of the system toward its absorbing state. It is shown that the system displays a transition from a connected phase to a fragmented phase, and that this transition is driven by the initial configuration of the system, as different initial conditions may lead to drastically different final configurations. Computer simulations are performed and confirm the theoretical predictions.
UR - http://www.scopus.com/inward/record.url?scp=78649327013&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2010.09.024
DO - 10.1016/j.physa.2010.09.024
M3 - Article
AN - SCOPUS:78649327013
SN - 0378-4371
VL - 390
SP - 392
EP - 397
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 2
ER -