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Master Stability for Traveling Waves on Networks

Stefan Ruschel

Andrus Giraldo

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Phys. Rev. Lett. 134, 257201 – Published 27 June, 2025

DOI: https://doi.org/10.1103/6v64-j5fd

Abstract

We present a framework for determining effectively the spectrum and stability of traveling waves on networks with symmetries, such as rings and lattices, by computing master stability curves (MSCs). Unlike traditional methods, MSCs are independent of system size and can be readily used to assess wave destabilization and multistability in small and large networks.

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Phys. Rev. Lett. 134, 257201– Published 27 June, 2025
  • Received 19 September 2024
  • Revised 19 March 2025
  • Accepted 20 May 2025
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