On the Nature of Turbulence
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de H. Brézis, D. Ruelle et F. Takens et un texte de R. Gérard et Mme A. Sec, Tome 12 (1971), Exposé no. 2, 44 p.
@article{RCP25_1971__12__A2_0,
     author = {Ruelle, David and Takens, Floris},
     title = {On the {Nature} of {Turbulence}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:2},
     pages = {1--44},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {12},
     year = {1971},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1971__12__A2_0/}
}
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Ruelle, David; Takens, Floris. On the Nature of Turbulence. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de H. Brézis, D. Ruelle et F. Takens et un texte de R. Gérard et Mme A. Sec, Tome 12 (1971), Exposé no. 2, 44 p. http://www.numdam.org/item/RCP25_1971__12__A2_0/

[1] R. Abraham and J. Marsden. Foundations of Mechanics. Benjamin, New York, 1967. | Zbl

[2] J. Bass. Fonctions stationnaires. Fonctions de corrélation. Application à la représentation spatio-temporelle de la turbulence. Ann. Inst. Henri Poincaré. Section B. 5, 135-193 (1969). | Numdam | MR | Zbl

[3] P. Brunovsky. One-parameter familles of diffeomorphisms. Symposium on Differential Equations and Dynamical Systems. Warwick 1968-69. | Zbl

[4] M. Hirsch, C.C. Pugh, and M. Shub. Invariant Manifolds. Bull. A.M.S. To appear | MR | Zbl

[5] M. Hirsch, C.C. Pugh, and M. Shub Invariant Manifolds. To appear. | MR | Zbl

[6] E. Hopf. Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Ber. Math.- Phys. Kl. Sächs. Akad. Wiss. Leipzig 94; 1-22 (1942). | Zbl

[7] A. Kelley. The stable, center-stable, center, center-unstable, and unstable manifolds. Published as Appendix C of R. Abraham and J. Robbin, Transversal Mappings and Flows, Benjamin, New York, 1967. | MR | Zbl

[8] L.D. Landau and E. M. Lifshitz. Fluid Mechanics Pergamon, Oxford, 1959. | MR | Zbl

[9] J. Leray. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta mathematica. 63, 193-248 (1934). | JFM | MR

[10] J. Moser· Perturbation Theory of Quasiperiodic Solutions of Differential Equations. Published in J.B. Keller and S. Antman, Bifurcation Theory and Nonlinear Eigenvalue Problems, Benjamin, New York, 1969. | Zbl

[11] S. Smale. Differentiable Dynamical Systems. Bull. Amer. Math. Soc. 73, 747-817 (1967). | MR | Zbl

[12] R. Thom. Stabilité Structurelle et Morphogénèse. Benjamin, New York, 1967, to be published. | Zbl

[13] R.F. Williams. One-dimensional non-wandering sets. Topology 6 473-487 (1967). | MR | Zbl