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Titolo:
PATTERN-FORMATION IN FINITE-SIZE NONEQUILIBRIUM SYSTEMS AND MODELS OFMORPHOGENESIS
Autore:
CHEN YY; CROSS MC;
Indirizzi:
NATL TAIWAN UNIV,DEPT PHYS TAIPEI TAIWAN CALTECH PASADENA CA 91125
Titolo Testata:
Nonlinearity
fascicolo: 4, volume: 7, anno: 1994,
pagine: 1125 - 1132
SICI:
0951-7715(1994)7:4<1125:PIFNSA>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
CONVECTIVE THRESHOLD; DROSOPHILA;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
12
Recensione:
Indirizzi per estratti:
Citazione:
Y.Y. Chen e M.C. Cross, "PATTERN-FORMATION IN FINITE-SIZE NONEQUILIBRIUM SYSTEMS AND MODELS OFMORPHOGENESIS", Nonlinearity, 7(4), 1994, pp. 1125-1132

Abstract

Two canonical pattern forming systems, the Rayleigh-Benard convectionand the Turing mechanism for biological pattern formation, are compared. The similarity and fundamental differences in the mathematical structure of the two systems are addressed, with special emphasis on how the linear onset of patterns is affected by the finite size and the boundary conditions. Our analysis is facilitated by continuously varyingthe boundary condition, from one that admits simple algebraic solution of the problem but is unrealistic to another which is physically realizable. Our investigation shows that the size dependence of the convection problem can be considered generic, in the sense that for the majority of boundary conditions the same trend is to be observed, while for the corresponding Turing mechanism one will rely crucially on the assumed boundary conditions to ensure that a particular sequence of patterns be picked up as the system grows in size. This suggests that, although different systems might exhibit similar pattern forming features, it is still possible to distinguish them by characteristics which are specific to the individual models.

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Documento generato il 05/07/20 alle ore 23:08:55