• Editors' Suggestion

Desynchronization Transitions in Adaptive Networks

Rico Berner, Simon Vock, Eckehard Schöll, and Serhiy Yanchuk
Phys. Rev. Lett. 126, 028301 – Published 15 January 2021
PDFHTMLExport Citation

Abstract

Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In this Letter, we develop the master stability approach for a large class of adaptive networks. This approach allows for reducing the synchronization problem for adaptive networks to a low-dimensional system, by decoupling topological and dynamical properties. We show how the interplay between adaptivity and network structure gives rise to the formation of stability islands. Moreover, we report a desynchronization transition and the emergence of complex partial synchronization patterns induced by an increasing overall coupling strength. We illustrate our findings using adaptive networks of coupled phase oscillators and FitzHugh-Nagumo neurons with synaptic plasticity.

  • Figure
  • Figure
  • Figure
  • Received 24 August 2020
  • Revised 4 November 2020
  • Accepted 15 December 2020

DOI:https://doi.org/10.1103/PhysRevLett.126.028301

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsNetworksPhysics of Living SystemsGeneral Physics

Authors & Affiliations

Rico Berner1,2,*, Simon Vock1, Eckehard Schöll1,3,4, and Serhiy Yanchuk2

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany
  • 2Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany
  • 3Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität, Philippstraße 13, 10115 Berlin, Germany
  • 4Potsdam Institute for Climate Impact Research, Telegrafenberg A 31, 14473 Potsdam, Germany

  • *rico.berner@physik.tu-berlin.de

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 126, Iss. 2 — 15 January 2021

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×