Pattern formation on a sphere

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 3 2, 2003, Pages

  Matthews, P C ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FLOW PATTERNS; MATHEMATICAL MODELS; POLYNOMIALS; SPHERES; TEMPERATURE;

DERIVATION OF EQUATIONS; ICOSAHEDRAL SYMMETRY; PATTERN FORMATION; SPHERICAL HARMONICS; TEMPERATURE FLUCTUATIONS;

SURFACE PHENOMENA;

EID: 37649027298     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. F.H. Busse, J. Fluid Mech. 72, 67 (1972).
2. G. Schubert, G.A. Glatzmeier, and B. Travis, Phys. Fluids A 5, 1928 (1993).
3. P. Zhang, K. Liao, and K. Zhang, Phys. Rev. E 66, 055203 (2002).
4. G.H. Knightly and D. Sather, Arch. Ration. Mech. Anal. 72, 315 (1980).
5. H. Pleiner, Phys. Rev. A 42, 6060 (1990).
6. H. Byrne, and P. Matthews, IMA J. Math. Appl. Med. Biol. 19, 1 (2002).
7. M.A.J. Chaplain, M. Ganesh, and I.G. Graham, J. Math. Biol. 42, 387 (2001).
8. A.M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
9. C. Varea, J.L. Aragon, and R.A. Barrio, Phys. Rev. E 60, 4588 (1999).
10. D.H. Sattinger, J. Math. Phys. 19, 1720 (1978).
11. E. Ihrig and M. Golubitsky, Physica D 13, 1 (1984).
12. M. Golubitsky, I. Stewart, and D. G. Schaeffer, Singularities and Groups in Bifurcation Theory (Springer, New York 1988)
13. P. Chossat, R. Lauterbach, and I. Melbourne, Arch. Ration. Mech. Anal. 113, 313 (1990).
14. P.C. Matthews, Nonlinearity (to be published).
15. J.B. Swift and P.C. Hohenberg, Phys. Rev. A 15, 319 (1977).
16. P.C. Matthews, Physica D 116, 81 (1998).
17. J.C. Adams and P.N. Swarztrauber, Mon. Weather Rev. 127, 1872 (1999).
18. S.M. Cox and P.C. Matthews, J. Comput. Phys. 176, 430 (2002).
19. N.J. Dimmock, A.J. Easton, and K.N. Leppard, Introduction to Modern Virology (Blackwell, Oxford, 2001).
20. F.H.C. Crick and J.D. Watson, Nature (London) 177, 473 (1956).
21. D.W. Thompson, On Growth and Form (Cambridge University Press, Cambridge, 1942).