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Gandy, DL and Nelson, MR 
ORCID: https://orcid.org/0000-0001-5320-2464,
2022.
Analysing pattern formation in the Gray-Scott model: an XPPAUT tutorial.
SIAM Review, 64 (3), pp. 728-747.
ISSN 0036-1445
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Abstract
The Gray-Scott model is a widely-studied autocatalytic model that exhibits a range of interesting pattern formation behaviour, as well as a rich structure of dynamics that includes many ideas from a typical undergraduate dynamical systems course, and some from beyond. Understanding the solutions to this model is arguably most easily conducted via a bifurcation analysis of corresponding ODE problems within the software XPPAUT. In this paper, we provide an introductory XPPAUT tutorial, through which we begin to expose the range of intricate patterns that the Gray–Scott model emits.
| Item Type: | Journal article |
|---|---|
| Publication Title: | SIAM Review |
| Creators: | Gandy, D.L. and Nelson, M.R. |
| Publisher: | Society for Industrial and Applied Mathematics |
| Date: | 2022 |
| Volume: | 64 |
| Number: | 3 |
| ISSN: | 0036-1445 |
| Identifiers: | Number Type 10.1137/21M1402868 DOI 1511706 Other |
| Rights: | Copyright © by SIAM |
| Divisions: | Schools > School of Science and Technology |
| Record created by: | Laura Ward |
| Date Added: | 27 Jan 2022 13:54 |
| Last Modified: | 23 Aug 2022 07:48 |
| URI: | https://irep.ntu.ac.uk/id/eprint/45425 |
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