On the Nature of Turbulence

David Ruelle; Floris Takens

Recherche Coopérative sur Programme n°25 (1971)

  • Volume: 12, page 1-44

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Ruelle, David, and Takens, Floris. "On the Nature of Turbulence." Recherche Coopérative sur Programme n°25 12 (1971): 1-44. <http://eudml.org/doc/274452>.

@article{Ruelle1971,
author = {Ruelle, David, Takens, Floris},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-44},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {On the Nature of Turbulence},
url = {http://eudml.org/doc/274452},
volume = {12},
year = {1971},
}

TY - JOUR
AU - Ruelle, David
AU - Takens, Floris
TI - On the Nature of Turbulence
JO - Recherche Coopérative sur Programme n°25
PY - 1971
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 12
SP - 1
EP - 44
LA - eng
UR - http://eudml.org/doc/274452
ER -

References

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  1. [1] R. Abraham and J. Marsden. Foundations of Mechanics. Benjamin, New York, 1967. Zbl0393.70001
  2. [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). Zbl0187.51605MR275506
  3. [3] P. Brunovsky. One-parameter familles of diffeomorphisms. Symposium on Differential Equations and Dynamical Systems. Warwick1968-69. Zbl0202.23104
  4. [4] M. Hirsch, C.C. Pugh, and M. Shub. Invariant Manifolds. Bull. A.M.S. To appear Zbl0226.58009MR501173
  5. [5] M. Hirsch, C.C. Pugh, and M. ShubInvariant Manifolds. To appear. Zbl0226.58009MR292101
  6. [6] E. Hopf. Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Ber. Math.- Phys. Kl. Sächs. Akad. Wiss.Leipzig94; 1-22 (1942). Zbl0063.02065
  7. [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. Zbl0173.11001MR221044
  8. [8] L.D. Landau and E. M. Lifshitz. Fluid MechanicsPergamon, Oxford, 1959. Zbl0146.22405MR108121
  9. [9] J. Leray. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta mathematica. 63, 193-248 (1934). MR1555394JFM60.0726.05
  10. [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. Zbl0187.34302
  11. [11] S. Smale. Differentiable Dynamical Systems. Bull. Amer. Math. Soc.73, 747-817 (1967). Zbl0202.55202MR228014
  12. [12] R. Thom. Stabilité Structurelle et Morphogénèse. Benjamin, New York, 1967, to be published. Zbl0294.92001
  13. [13] R.F. Williams. One-dimensional non-wandering sets. Topology6473-487 (1967). Zbl0159.53702MR217808

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