Dynamics Seminar by Stefan Ruschel on the 16th of April

On the 16th of April 2025 at 4pm, Stefan Ruschel (University of Leeds) will give an Amsterdam Dynamics Seminar. We will go for drinks at Bar Boele after the talk.

The talk will take place in the Maryam seminar room (9A-46).

Title:  Master stability for travelling waves on networks

Abstract: Computing the spectrum and stability of traveling waves in spatially discrete systems quickly becomes unfeasible with increasing system size. We present a framework for effectively determining the spectrum and stability of traveling waves Zn-equivariant networks (such as rings and lattices) by computing master stability curves. We show that wave destabilization and multi-stability between waves can be determined from the position and curvature of master stability curves independently of the number of constituents. To illustrate our framework, we compute and analyse master stability curves of traveling waves (that take the form of pulse trains) in diffusively coupled rings of FitzHugh-Nagumo oscillators. (S Ruschel, A Giraldo. Master stability curves for traveling waves, arXiv:2409.12736)