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 `a 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.
Homogeneous-per-layer patterns in multiplex networks / Busiello, Daniel M.; Carletti, Timoteo; Fanelli, Duccio. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 121:(2018), pp. 48006-48006. [10.1209/0295-5075/121/48006]
Homogeneous-per-layer patterns in multiplex networks
Carletti, Timoteo;Fanelli, Duccio
2018
Abstract
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 `a 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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.