Turing pattern outside of the Turing domain

Applied Mathematics Letters

Volumn 20, Issue 9, 2007, Pages 959-963

  Flach, E H ^a,b   Schnell, S ^b   Norbury, J ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Convection; Limit cycle; Reaction diffusion; Schnakenberg; Turing pattern

Indexed keywords

PARAMETER ESTIMATION; PATTERNMAKING; REACTION KINETICS; TURING MACHINES;

CONVECTIVE SYSTEM; LIMIT CYCLE; TURING PATTERN;

DIFFUSION;

EID: 34250731300     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.09.009     Document Type: Article

References (7)

1. Schnakenberg J. Simple chemical reaction systems with limit cycle behaviour. J. Theor. Biol. 81 (1979) 389-400
2. Merkin J.H., Needham D.J., and Scott S.K. On the creation, growth and extinction of oscillatory solutions for a simple pooled chemical reaction scheme. SIAM J. Appl. Math. 47 (1987) 1040-1060
3. Turing A.M. The chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond. Ser. B 237 (1952) 37-72
4. Strier D.E., and Dawson S.P. Role of complexing agents in the appearance of Turing patterns. Phys. Rev. E 69 (2004) 066207
5. Murray J.D. Mathematical Biology (1989), Springer, New York
6. Edelstein-Keshet L. Mathematical Models in Biology (2005), SIAM, Philadelphia
7. Satnoianu R.A., Merkin J.H., and Scott S.K. Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics. Physica D 124 (1998) 345-367