10.14279/DEPOSITONCE-9802
Berner, Rico
Rico
Berner
Fialkowski, Jan
Jan
Fialkowski
Kasatkin, Dmitry
Dmitry
Kasatkin
Nekorkin, Vladimir
Vladimir
Nekorkin
Yanchuk, Serhiy
Serhiy
Yanchuk
Schöll, Eckehard
Eckehard
Schöll
Hierarchical frequency clusters in adaptive networks of phase oscillators
Technische Universität Berlin
2019
Article
530 Physik
adaptive dynamical network
phase oscillators
time scale separation
hierarchical frequency multiclusters
Technische Universität Berlin
Technische Universität Berlin
2020-04-23
2020-04-23
2019-10-23
en
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 29, 103134 (2019) and may be found at https://doi.org/10.1063/1.5097835.
Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system of coupled phase oscillators with adaptive couplings. In this paper, we investigate the dynamics of this system. We extend recent results on the appearance of hierarchical frequency multiclusters by investigating the effect of the time scale separation. We show that the slow adaptation in comparison with the fast phase dynamics is necessary for the emergence of the multiclusters and their stability. Additionally, we study the role of double antipodal clusters, which appear to be unstable for all considered parameter values. We show that such states can be observed for a relatively long time, i.e., they are metastable. A geometrical explanation for such an effect is based on the emergence of a heteroclinic orbit.