TY - JOUR
T1 - Dynamical complexity as a proxy for the network degree distribution
AU - Tlaie, A.
AU - Leyva, I.
AU - Sevilla-Escoboza, R.
AU - Vera-Avila, V. P.
AU - Sendiña-Nadal, I.
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/1/7
Y1 - 2019/1/7
N2 - We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the nodes is found to be a function of their topological roles, with nodes of higher degree displaying lower levels of complexity. We provide several examples of theoretical models of chaotic oscillators, pulse-coupled neurons, and experimental networks of nonlinear electronic circuits evidencing such a hierarchical behavior. Importantly, our results imply that it is possible to infer the degree distribution of a network only from individual dynamical measurements.
AB - We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the nodes is found to be a function of their topological roles, with nodes of higher degree displaying lower levels of complexity. We provide several examples of theoretical models of chaotic oscillators, pulse-coupled neurons, and experimental networks of nonlinear electronic circuits evidencing such a hierarchical behavior. Importantly, our results imply that it is possible to infer the degree distribution of a network only from individual dynamical measurements.
UR - http://www.scopus.com/inward/record.url?scp=85059871873&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.99.012310
DO - 10.1103/PhysRevE.99.012310
M3 - Artículo
C2 - 30780205
AN - SCOPUS:85059871873
SN - 2470-0045
VL - 99
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 012310
ER -