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Erosion of synchronization in networks of coupled oscillators

Per Sebastian Skardal, Dane Taylor, Jie Sun, and Alex Arenas
Phys. Rev. E 91, 010802(R) – Published 28 January 2015

Abstract

We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady state, even in the limit of infinite coupling. An analysis reveals that the total erosion is separable into the product of terms characterizing coupling frustration and structural heterogeneity, both of which amplify erosion. The latter, however, can differ significantly from degree heterogeneity. Finally, we show that erosion is marked by the reorganization of oscillators according to their node degrees rather than their natural frequencies.

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  • Received 28 October 2014
  • Revised 11 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.010802

©2015 American Physical Society

Authors & Affiliations

Per Sebastian Skardal1,*, Dane Taylor2,3, Jie Sun4, and Alex Arenas1

  • 1Departament d'Enginyeria Informatica i Matemátiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain
  • 2Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, North Carolina 27709, USA
  • 3Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599, USA
  • 4Department of Mathematics, Clarkson University, Potsdam, New York, 13699, USA

  • *skardals@gmail.com

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Issue

Vol. 91, Iss. 1 — January 2015

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