Analysis of pattern formation using numerical continuation.

Autor:	Janovský, Vladimír, 1947-
Jazyk:	angličtina
Předmět:	aplikovaná matematika applied mathematics články journal articles pattern formation reaction-diffusion model Turing instability diffusion-driven instability
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: The paper deals with the issue of self-organization in applied sciences. It is particularly related to the emergence of Turing patterns. The goal is to analyze the domain size driven instability: We introduce the parameter $L$, which scales the size of the domain. We investigate a particular reaction-diffusion model in 1-D for two species. We consider and analyze the steady-state solution. We want to compute the solution branches by numerical continuation. The model in question has certain symmetries. We define and classify them. Our goal is to calculate a global bifurcation diagram.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink