Computing the stability of travelling waves on networks with symmetries using continuation
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 spectral curves by continuation. Unlike traditional methods, these spectral curves are independent of system size and can be readily used to assess wave destabilization in small and large networks. This is joint work with Andrus Giraldo, Korea Institute for Advanced Study.