Eur. Phys. J. Special Topics 227, 1221–1230 (2018)
https://doi.org/10.1140/epjst/e2018-800071-7

Regular Article

Effects of structure-dynamics correlation on hierarchical transitions in heterogeneous oscillatory networks

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

^a e-mail: olmaov@ipfran.ru
^b e-mail: vnekorkin@neuron.appl.sci-nnov.ru

Received: 25 April 2018
Received in final form: 15 June 2018
Published online: 12 December 2018

Abstract

The impact of frequency-degree and amplitude-degree correlation is studied for heterogeneous networks of coupled Stuart–Landau oscillators. It is shown that increasing coupling strength gives rise to hierarchical processes of oscillation quenching. In case of frequency-degree correlated networks, higher-frequency oscillators gradually become almost quenched while low-frequency ones still remain oscillating. In case of amplitude-degree correlated networks, there appear three distinct domains, two contain low-amplitude oscillations with positive and negative means, and the third includes high-amplitude oscillations around the origin.