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2015-06-04

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cc-by-nc-nd (c) Kouvaris, Nikos E. et al., 2015
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/67783

Pattern formation in multiplex networks

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http://dx.doi.org/10.1038/srep10840

Abstract

The advances in understanding complex networks have generated increasing interest in dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has been studied in networks, revealing differences from the classical continuous media. Here we study pattern formation in a new framework, namely multiplex networks. These are systems where activator and inhibitor species occupy separate nodes in different layers. Species react across layers but diffuse only within their own layer of distinct network topology. This multiplicity generates heterogeneous patterns with significant differences from those observed in single-layer networks. Remarkably, diffusion-induced instability can occur even if the two species have the same mobility rates; condition which can never destabilize single-layer networks. The instability condition is revealed using perturbation theory and expressed by a combination of degrees in the different layers. Our theory demonstrates that the existence of such topology-driven instabilities is generic in multiplex networks, providing a new mechanism of pattern formation.

Subject

Formació de patrons (Física), Ecosistemes, Estadística matemàtica, Xarxes complexes (Matemàtica)

Subject (English)

Pattern formation (Physical sciences), Biotic communities, Mathematical statistics, Complex networks (Physics)

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Articles publicats en revistes (Física de la Matèria Condensada)
Publicacions de projectes de recerca finançats per la UE

Citation

KOUVARIS, Nikos E., HATA, S. and DÍAZ GUILERA, Albert. Pattern formation in multiplex networks. Scientific Reports. 2015. Vol. 5, num. 10840, pags. 1-9. ISSN 2045-2322. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/67783

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