English

Master stability for traveling waves on networks

Pattern Formation and Solitons 2025-05-16 v2

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 multi-stability in small and large networks.

Cite

@article{arxiv.2409.12736,
  title  = {Master stability for traveling waves on networks},
  author = {Stefan Ruschel and Andrus Giraldo},
  journal= {arXiv preprint arXiv:2409.12736},
  year   = {2025}
}

Comments

15 pages, 3 figures

R2 v1 2026-06-28T18:50:14.549Z