期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 27, 期 7, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127417300245
关键词
Gray-Scott model; Takens-Bogdanov bifurcation; Bautin bifurcation
We study the spatially homogeneous time-dependent solutions and their bifurcations in 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 bifurcation, in the space of two parameters k-F. With the aid of numerical continuation of local bifurcation curves we give a global description of all the possible bifurcations.
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