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arXiv · 1702.03353

Global bifurcation map of the homogeneus states in the Gray-Scott model

Joaquin Delgado·Lucia Ivonne Hernandez Martinez·Javier Perez Lopez
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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

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Joaquin Delgado, Lucia Ivonne Hernandez Martinez, Javier Perez Lopez. 2017-02-10. Global bifurcation map of the homogeneus states in the Gray-Scott model. https://doi.org/10.1142/s0218127417300245

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