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

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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.

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Authors and Affiliations

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

    Oleg V. Maslennikov & Vladimir I. Nekorkin

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  1. Oleg V. Maslennikov
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  2. Vladimir I. Nekorkin
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Correspondence to Oleg V. Maslennikov or Vladimir I. Nekorkin.

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Maslennikov, O.V., Nekorkin, V.I. Effects of structure-dynamics correlation on hierarchical transitions in heterogeneous oscillatory networks. Eur. Phys. J. Spec. Top. 227, 1221–1230 (2018). https://doi.org/10.1140/epjst/e2018-800071-7

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  • DOI: https://doi.org/10.1140/epjst/e2018-800071-7

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