Hierarchical transitions in multiplex adaptive networks of oscillatory units

Oleg V Maslennikov; Vladimir I Nekorkin

doi:10.1063/1.5077075

Hierarchical transitions in multiplex adaptive networks of oscillatory units

Chaos. 2018 Dec;28(12):121101. doi: 10.1063/1.5077075.

Authors

Oleg V Maslennikov¹, Vladimir I Nekorkin¹

Affiliation

¹ Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia.

PMID: 30599540
DOI: 10.1063/1.5077075

Abstract

In this work, we consider two-layer multiplex networks of coupled Stuart-Landau oscillators. The first layer contains oscillators with amplitude heterogeneity and all-to-all adaptive links, while the second layer contains identical oscillators all-to-all coupled by links with constant weights. The links between different layers are adaptive and organized in a one-to-one manner. We study the evolution of one-layer and two-layer networks depending on intra- and interlayer coupling strengths and show hierarchical transitions between oscillatory and quenched regimes.