Volume 121, Number 4, February 2018
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||20 April 2018|
Homogeneous-per-layer patterns in multiplex networks
1 Department of Physics and Astronomy “G. Galilei” and INFN, Universitá di Padova - Via Marzolo 8, 35131 Padova, Italy
2 Department of Mathematics and Namur Institute for Complex Systems - naXys, University of Namur rempart de la Vierge 8, B 5000 Namur, Belgium
3 Department of Physics and Astronomy, University of Florence, INFN and CSDC - Via Sansone 1, 50019 Sesto Fiorentino (FI), Italy
Received: 26 January 2018
Accepted: 3 April 2018
A new class of patterns for multiplex networks is studied, which consists in a collection of different homogeneous states each referred to a distinct layer. The associated stability diagram exhibits a tricritical point, as a function of the inter-layer diffusion coefficients. The patterns, made of alternating homogeneous layers of networks, are dynamically selected via non-homogeneous perturbations superposed to the underlying, globally homogeneous, fixed point and by properly modulating the coupling strength between layers. Furthermore, layer-homogeneous fixed points can turn unstable following a mechanism à la Turing, instigated by the intra-layer diffusion. This novel class of solutions enriches the spectrum of dynamical phenomena as displayed within the variegated realm of multiplex science.
PACS: 89.75.Hc – Networks and genealogical trees / 89.75.Kd – Patterns / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2018
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