Standing and rotating waves in reaction-diffusion systems with circular symmetry

Abstract

Many academic papers are written about reaction-diffusion systems with circular symmetry but without explicit formulas for normal form coefficients and without numerical simulations to verify normal form predictions. In this paper, we will provide explicit formulas to compute normal form coefficients using general techniques. Additionally, we provide an example and predict the behavior using the computed normal form coefficients. And then we will simulate the system numerically in MATLAB and compare results with the prediction.