Advertisement

Chemical structures far from equilibrium

  • P. Borckmans
  • G. Dewel
  • D. Walgraef
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 210)

Keywords

Armed Spiral Spiral Wave Phase Fluctuation Turing Instability Horizontal Magnetic Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G.Nicolis and I.Prigogine: “Self Organization in Non Equilibrium Systeans” (Wiley, New York, 1977)Google Scholar
  2. 2.
    G.Nicolis and F.Barras;Eds.: “Chemical Instabilities — Applications in Chemistry, Engineering, Geology and Materials Science” (Reidel, Doordrecht, 1984)Google Scholar
  3. 3.
    C.Vidal and A.Pacault;Eds.: “Non Linear Phenomena in Chemical Dynamics” (Springer, Berlin, 1981)Google Scholar
  4. 4.
    C.Vidal and A.Pacault in “Evolution of Order and Chaos in Physics, Chemistry, and Biology “ Synergetics vol. 17, H.Haken Ed. (Springer, Berlin, 1982) pp 74–99Google Scholar
  5. 5.
    G.R. Ivanitsky, V.I.Krinsky, A.N.Zaikin and A.M.Zhabotinsky, Soviet Scientific Review,D, Biology Reviews 2 (1981) 279–324Google Scholar
  6. 6.
    See for instance Section II of reference 2.Google Scholar
  7. 7.
    P.Pelcé and P.Clavin, J.Fluid Mech. 124 (1982) 219–237Google Scholar
  8. 7a.
    G.I.Sivashinsky, Ann.Rev.Fluid Mech. 15 (1983) 179–199CrossRefGoogle Scholar
  9. 8.
    G.Dewel, P.Borckmans and D.Walgraef, Proc.Natl.Acad.Sci. USA 80 (1983) (to appear)Google Scholar
  10. 9.
    M.L.Smoes in “Dynamics of Synergetic Systems“ Synergetics vol.6, H. Haken Ed.(Springer, Berlin, 1980) pp 80–96Google Scholar
  11. 10.
    N.Wiener and A.Rosenblueth, Arch.Inst.Cardiol.Mex. 16 (1946) 205–206Google Scholar
  12. 11.
    A.T.Winfree: “The Geometry of Biological Time“ (Springer, Berlin,1980) Science 175 (1972) 634; 185 (1973) 937Google Scholar
  13. 12.
    K.I.Agladze and V.I.Krinsky, Nature 296 (1982) 424–426CrossRefGoogle Scholar
  14. 13.
    D.Walgraef, G.Dewel and P.Borckmans, J.Chem.Phys. 78 (1983) 3043–3051CrossRefGoogle Scholar
  15. 14.
    J.Neu, SIAM J.Appl.Math. 36 (1979) 509–512CrossRefGoogle Scholar
  16. 15.
    Y.Kuramoto, Physica 106A (1981) 128–143Google Scholar
  17. 16.
    J.M.Kosterlitz and D.J.Thouless, J.Phys. C6 (1973) 1181–1203Google Scholar
  18. 17.
    P.S.Hagan, Adv.Applied Math. 2 (1981) 400–416CrossRefGoogle Scholar
  19. 17.a
    —, SIAM J.Appl.Math. 42 (1982) 762–786CrossRefGoogle Scholar
  20. 18.
    J.C.Micheau, M.Gimenez, P.Borckmans and G.Dewel, Nature 305 (1983) 43CrossRefGoogle Scholar
  21. 19.
    D.Walgraef, G.Dewel and P.Borckmans, Adv.Chem,Phys. 49 (1982) 311–355Google Scholar
  22. 20.
    R.Graham, Phys.Rev. A10 (1974) 1762–1784Google Scholar
  23. 20.a
    J.Swift and P.Hohenberg, Phys.Rev. A15 (1977) 315–328Google Scholar
  24. 21.
    P.Manneville, J.Physique 39 (1978) 911–925Google Scholar
  25. 22.
    F.Busse, Rep.Progr.Phys. 41 (1978) 1929–1967CrossRefGoogle Scholar
  26. 23.
    M.Dubois, P.Bergé and E.Wesfreid, J.Physique 39 (1978) 1253–1257Google Scholar
  27. 24.
    J.Pantaloni, R.Bailleux, J.Salan and M.Velarde, J.Non Equilib,Thermodyn. 4 (1979) 201–217Google Scholar
  28. 25.
    K.C.Stengel, D.S.Oliver and J.R.Booker, J.Fluid Mech. 120 (1982)411Google Scholar
  29. 26.
    V.L.Gertsberg and G.I.Sivashinsky, Progr.Theor.Phys. 66 (1981)1219Google Scholar
  30. 27.
    P.Pieransky, E.Dubois-Violette and F.Guyon, Phys.Rev.Lett. 30 (1973) 736–739CrossRefGoogle Scholar
  31. 28.
    J.M.Dreyfus and E.Guyon, J.Physique 42 (1981) 459Google Scholar
  32. 28.a
    E.Guazzelli and E.Guyon, C.R. Hebd.Séan.Acad.Sci. 292 (1981) 142Google Scholar
  33. 29.
    G.Martin, Phys.Rev.Lett. 50 (1983) 250–252CrossRefGoogle Scholar
  34. 30.
    P.Tabeling, J.Physique 43 (1982) 1295–1303Google Scholar
  35. 31.
    E.Guazzelli and E.Guyon, J.Physique 43 (1982) 985–989Google Scholar
  36. 32.
    E.Guazzelli, (1981) Thèse de 3ème cycle-Orsay.Google Scholar
  37. 33.
    Y.Pomeau and P.Manneville, J.Physique Lett. 40 (1979) L609Google Scholar
  38. 34.
    D.Walgraef, G.Dewel and P.Borckmans, Z.Phys. B48 (1982) 167CrossRefGoogle Scholar
  39. 35.
    R.Occelli, E.Guazzelli and J.Pantaloni, J.Physique Lett. 44 (1983) L567.Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • P. Borckmans
    • 1
  • G. Dewel
    • 1
  • D. Walgraef
    • 1
  1. 1.Chercheurs Qualifiés au F.N.R.S. Service de Chimie-Physique IIUniversité Libre de BruxellesBruxellesBelgium

Personalised recommendations