Coarse-grained patterns in multiplex networks
arXiv:1801.08487
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 coarse-grained patterns made of alternating homogenous layers, 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-homogenous 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.
References in corpus (9)
- Diffusion dynamics on multiplex networks
- Turing patterns in network-organized activator-inhibitor systems
- Turing patterns on networks
- Layered Complex Networks
- Growing multiplex networks
- Emergence of structural and dynamical properties of ecological mutualistic networks
- Topology-driven instabilities: the theory of pattern formation on directed networks
- Pattern formation in multiplex networks
- Turing patterns in multiplex networks