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

Autor: Demi L. Gandy, Martin R. Nelson
Jazyk: angličtina
Rok vydání: 2022
Předmět:
ISSN: 0036-1445
Popis: 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.
Databáze: OpenAIRE