Spatio-temporal chaos for the Gray—Scott model

By Y. Nishiura, D. Ueyama. 2001

160 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Global and Planetary Change, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0d1589f189fd2247437128a7978309e4c4331444

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In Computer Networks and Communications

1. Jun-cheng Wei
2. Michael Jeffrey Ward
3. Mingxin Wang

In Statistical and Nonlinear Physics

1. Jun-cheng Wei
2. Michael Jeffrey Ward
3. Mingxin Wang
4. Gianmaria Verzini
5. Rainer Mandel
6. S. Terracini

Citations in the corpus

• The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime (2005, background): “20) is not valid for the other pulse-splitting regime D = O("2) studied numerically in [32], [33], and [38].”
• An Explicit Theory for Pulses in Two Component, Singularly Perturbed, Reaction–Diffusion Equations (2015, unknown): “Already in the case of GS/GM-type models, interacting pulses may exhibit complicated, even chaotic, behaviour [26, 27].”