Geodesic
Modélisation de la transition vers la turbulence
Séminaire Bourbaki : volume 1982/83, exposés 597-614, Astérisque, no. 105-106 (1983), Exposé no. 607, 19 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR   Zbl 

Iooss, Gérard. Modélisation de la transition vers la turbulence, dans Séminaire Bourbaki : volume 1982/83, exposés 597-614, Astérisque, no. 105-106 (1983), Exposé no. 607, 19 p.. http://geodesic.mathdoc.fr/item/SB_1982-1983__25__179_0/
@incollection{SB_1982-1983__25__179_0,
     author = {Iooss, G\'erard},
     title = {Mod\'elisation de la transition vers la turbulence},
     booktitle = {S\'eminaire Bourbaki : volume 1982/83, expos\'es 597-614},
     series = {Ast\'erisque},
     note = {talk:607},
     pages = {179--197},
     year = {1983},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {105-106},
     mrnumber = {728988},
     zbl = {0604.76041},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1982-1983__25__179_0/}
}
TY  - CHAP
AU  - Iooss, Gérard
TI  - Modélisation de la transition vers la turbulence
BT  - Séminaire Bourbaki : volume 1982/83, exposés 597-614
AU  - Collectif
T3  - Astérisque
N1  - talk:607
PY  - 1983
SP  - 179
EP  - 197
IS  - 105-106
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1982-1983__25__179_0/
LA  - fr
ID  - SB_1982-1983__25__179_0
ER  - 
%0 Book Section
%A Iooss, Gérard
%T Modélisation de la transition vers la turbulence
%B Séminaire Bourbaki : volume 1982/83, exposés 597-614
%A Collectif
%S Astérisque
%Z talk:607
%D 1983
%P 179-197
%N 105-106
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1982-1983__25__179_0/
%G fr
%F SB_1982-1983__25__179_0

[1] A. Arnéodo, P. Coullet, C. Tresser, Occurence of strange attractors in three-dimensional Volterra equations, Phys.Lett. 79A, 4, 259, (1980) | MR

[2] A. Arnéodo, P. Coullet, C. Tresser, Oscillators with chaotic behavior, J.Stat.Phys., 27,1, 171, (1982) | Zbl | MR

[3] V. Arnold, Chapitres supplémentaires de la Théorie des Equations Différentielles ordinaires, MIR, Moscou, (1980) | Zbl | MR

[4] D. G. Aronson, M. A. Chory, G .R. Hall, R. P. Mcgehee, Bifurcations from an invariant circle for two-parameter families of maps of the plane, Comm.Math.Phys. 83, 303, (1982) | Zbl | MR

[5] P. Bergé, M. Dubois, P. Manneville, Y. Pomeau, Intermittency in Rayleigh-Bénard convection, J. de Phys. Lettres 41, L341, (1980)

[6] M. Brachet, D. Meiron, S. Orszag, B. Nickel, R. Morf, U. Frisch, J.Fluid.Mech., (1982), (à paraître)

[7] A. Chenciner, Bifurcations de difféomorphismes de IR2, au voisinage d'un point fixe elliptique. Chaotic behavior of deterministic systems, Les Houches Summer school 1981, North Holland, (à paraître) | Zbl | MR

[8] P. Collet, J. P. Eckmann,Iterated maps on the interval as dynamical systems, P. Ph 1, Birkhaüser, Boston, 1980 | Zbl | MR

[9] M. Dubois, P. Bergé, V. Croquette, Study of non steady convective regimes using Poincaré sections, J.de Phys.Lettres 43, L295, (1982)

[10] J. P. Eckmann, Route to chaos with special emphasis on period doubling. Chaotic behavior of deterministic systems, Les Houches Summer school 1981, North Holland, (à paraître) | Zbl

[11] C. Foias, G. Prodi, Rend. Sem. Math., Univ. Padova 39, 1, (1967) | Zbl | MR | Numdam

[12] C. Foias, O. P. Manley, R. Témam, I. M. Trèves, Number of modes governing two-dimensional viscous incompressible flows, Phys. Rev. Lett., 50, 14, p. 1031-1034, 1983. | MR

[13] H. Fujita, T. Kato, On the Navier-Stokes initial value problem I, Arch. Rat. Mech. Anal. 16, 4 , 269, (1964) | Zbl | MR

[14] M. Giglio, S. Musazzi, U. Perini, Transition to chaos via a well ordered sequence of period doubling bifurcations, Phys.Rev.Lett. 47, 243, (1981)

[15] J. P. Gollub, S. V. Benson, Many routes to turbulent convection, J.Fluid Mech.,100, 3, 449, (1980)

[16] J. Guckenheimer, On a codimension two bifurcation, Dynamical Systems and Turbulence, p.99, Lecture Notes in Math., 898, Springer Verlag, 1981 | Zbl | MR

[17] M. Hénon, Y. Pomeau, Two strange attractors with a simple structure, Turbulence and Navier Stokes equations, Orsay 1975, Lecture Notes in Math 565, (1976) | Zbl | MR

[18] J. H. Curry, J. R. Herring, J. Loncaric, S. A. Orszag, Order and disorder in two and three dimensional Bénard convection, (preprint).

[19] E. Hopf, A mathematical example displaying features of turbulence, Comm. Pure & Appl. Math. 1, 303, (1948) | Zbl | MR

[20] G. Iooss, Sur la deuxième bifurcation d'une solution stationnaire de systèmes du type Navier-Stokes, partie II, Arch.Rat.Mech.Anal. 64, 339, (1977) | Zbl | MR

[21] G. Iooss, Bifurcation of maps and applications, North Holland Math.Studies 36, Amsterdam, 1979 | Zbl | MR

[21]2G. Iooss, Persistance d'un cercle invariant par une application voisinede "l'application temps T "d'un champ de vecteurs intégrable(I&II), CR.Ac.Sci.Paris A, 1982 (à paraître) | Zbl

[22] A. Chenciner, G. Iooss, Bifurcations de tores invariants, Arch.Rat.Mech.Anal, 69, 2, 109-198 et 71, 301-306, (1979) | Zbl | MR

[23] V. I. Iudovich, On the stability of steady flows of a viscous incompressible fluid, D.A.N. SSSR, 161, 5, 1037, (1965) | Zbl

[24] L. Landau, E. Lifchitz, Mécanique des fluides, p.131-132, MIR, Moscou 1971

[25] O. E. Lanford Iii, Smooth transformations of intervals, Séminaire Bourbaki,n°563, 1980 | Zbl | Numdam

[26] O. E. Lanford Iii, Introduction to the mathematical theory of dynamical systems, Chaotic behavior of deterministic systems, Les Houches Summer school 1981, North Holland (à paraître) | Zbl

[27] O. A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon & Breach (2nd ed.), New York 1969 | Zbl | MR

[28] O. A. Ladyzhenskaya, Mathematical analysis of Navier-Stokes equations for incompressible liquids, Annual Rev. Fluid Mech. 7, 249, (1975) | Zbl

[29] E. N. Lorenz, Deterministic nonperiodic flow, J. Atm. Sci. 20, 130, (1963)

[30] J. Maurer, A. Libchaber, Rayleigh-Bénard experiment in liquid helium; frequency locking and the onset of turbulence, J. de Phys.Lettres 40, L419, (1979)

[31] M. Misiurewicz, Maps of an internal. Chaotic behavior of deterministic systems, Les Houches Summer school 1981, North Holland, (à paraître) | Zbl

[32] S. E. Newhouse, The creation of non-trivial recurrence in the dynamics of diffeomorphisms. Chaotic behavior of deterministic systems, Les Houches Summer school 1981, North Holland (à paraître) | Zbl

[33] Y. Pomeau, P. Manneville, Intermittency and the Lorenz model, Physics Lett. 75A,1, (1979) | MR

[34] D. Ruelle, F. Takens, On the nature of turbulence, Comm. Math. Phys.,20, 167-192, (1971) | Zbl | MR

[35] L. P. Shil'Nikov, Sov.Math.Dokl.,6, 163, (1965), et Mat.USSR, Sb.10, 91, (1970) | MR

[36] R. Témam, Navier-Stokes equations, North Holland, Amsterdam, 1977 | Zbl | MR

[37] C. Vidal, A. Pacault (éd.), Nonlinear phenomena in chemical dynamics, Springer Series in Synergetics 12, Springer Verlag, (1981) | MR

[38] R. F. Williams, The structure of Lorenz attractors, Turbulence seminar, Berkeley 1976-77, Lecture Notes in Math. 615, p.94, (1977). | Zbl | MR