Global bifurcation map of the homogeneus states in the Gray-Scott model
arXiv:1702.03353 · doi:10.1142/S0218127417300245
Abstract
We study the spatially homogeneous time dependent solutions and their bifurcations of the Gray-Scott model. We find the global map of bifurcations by a combination of rigorous verification of the existence of Takens Bogdanov and a Bautin bifurcations, in the space of two parameters k and F. With the aid of numerical continuation of local bifurcation curves we give a global description of all the possible bifurcations
24 pages, 12 figures