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docs/src/examples/pde/gray-scott.md

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@@ -5,6 +5,11 @@ The Gray–Scott model is a prototypical reaction–diffusion system known for g
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In this tutorial, we’ll employ a Universal Differential Equation (UDE) framework: embedding a small neural network within the PDE’s reaction term to learn unknown dynamics from data, while retaining the known diffusion physics.
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!!! note
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The data generation and training process specifically avoids the chaotic regime of this equation in order to avoid the potential fitting issues involved in that case. See
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[How chaotic is chaos? How some AI for Science / SciML papers are overstating accuracy claims](https://www.stochasticlifestyle.com/how-chaotic-is-chaos-how-some-ai-for-science-sciml-papers-are-overstating-accuracy-claims/) or
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[Scientific Machine Learning of Chaotic Systems Discovers Governing Equations for Neural Populations](https://arxiv.org/abs/2507.03631) for more details
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## Equations of the Gray-Scott Model
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The system is governed by the coupled PDEs:

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