Analysing pattern formation in the Gray-Scott model: an XPPAUT tutorial

Gandy, D.L. and Nelson, M.R. ORCID: 0000-0001-5320-2464, 2022. Analysing pattern formation in the Gray-Scott model: an XPPAUT tutorial. SIAM Review. ISSN 0036-1445 (Forthcoming)

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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:	19 January 2022
ISSN:	0036-1445
Identifiers:	Number Type 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:	24 Feb 2022 16:23
URI:	http://irep.ntu.ac.uk/id/eprint/45425

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