Meandering and drifting spirals

Patterns and Simulations

By Bjorn Sandstede and Arnd Scheel
Once a rigidly-rotating spiral wave destabilizes in a Hopf bifurcation, meandering or drifting spiral waves bifurcate. Meandering spiral waves come in two flavors, namely inwardly and outwardly meandering spirals. It is the motion of their tip that distinguishes these spirals from a rotating spiral wave. The Hopf bifurcation adds another frequency to the temporal dynamics of the bifurcating spiral waves. Below are pictures and movies of the tip motion of rigidly rotating, inwardly meandering, drifting, and outwardly meandering spiral waves.
Author Institutional AffiliationUniversity of Minnesota, School of Mathematics
Author Email
Author Postal Mail206 Church St SE, Minneapolis, MN 55455, US phone: 1-612-625-4065
Numerical simulations variants of the FitzHugh-Nagumo equation, based on the software EZSpiral.
KeywordsSpiral waves, Meandering, FitzHugh-Nagumo, EZSpiral

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