The structure of Lorenz attractors
Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 73-99 
@article{PMIHES_1979__50__73_0,
     author = {Williams, Robert F.},
     title = {The structure of {Lorenz} attractors},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {73--99},
     year = {1979},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {50},
     mrnumber = {82b:58055b},
     zbl = {0484.58021},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1979__50__73_0/}
}
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Williams, Robert F. The structure of Lorenz attractors. Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 73-99. https://www.numdam.org/item/PMIHES_1979__50__73_0/

[1] Bowen (R.) and Lanford (O.), Zeta functions of restrictions of the shift transformation, Proceedings of the Symposium in Pure Math., vol. 14 (PSPM14), 1970, 43-50. | Zbl | MR

[2] Eilenberg (S.) and Steenrod (N.), Foundations of Algebraic topology, Princeton (1952), Chapter VIII. | Zbl | MR

[3] Guckenheimer (J.), A strange, strange attractor, The Hopf Bifurcation, Marsden and McCracken, eds., Appl. Math. Sci., Springer-Verlag, 1976.

[4] Guckenheimer (J.), Axiom A+no cycles ⇒ζ(t) rational, Bull. Amer. Math. Soc., 76 (1970), 592. | Zbl | MR

[5] Hirsch (M.) and Pugh (C.), The stable manifold theorem (PSPM14), op. cit., 125-163.

[6] Hirsch (M.), Pugh (C.), Shub (M.), Invariant manifolds, Springer Lecture Notes in Math., 583 (1977). | Zbl | MR

[7] Lorenz (E. N.), Deterministic non-periodic flow, Journal of Atmospheric Sciences, 20 (1963), 130-141.

[8] Milnor (J.) and Thurston (W.), Iterated maps of the interval : I. The kneading matrix, preprint, I.A.S., Princeton. | Zbl

[9] Milnor (J.), Thurston (W.), Iterated maps of the interval : II. Periodic points, preprint, I.A.S., Princeton. | Zbl

[10] Rössler (O. P.), An equation for continuous chaos, preprint, Universität Tübingen (to appear in Phys Letiers).

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

[12] Ruelle (D.), The Lorenz Attractor and the problem of turbulence, preprint (1976), I.H.E.S. | Zbl | MR

[13] Smale (S.), Differentiable Dynamical Systems, Bull. Amer. Math. Soc., 13 (1967), 747-817. | Zbl | MR

[14] Sullivan (D.) and Williams (R.), On the homology of attractors, preprint (1974), Topology, 15 (1976), 259-262. | Zbl | MR

[15] Thom (R.), Structural stability and morphogenesis, Benjamin, Mass. (transl. D. H. FOWLER), 1975. | Zbl

[16] Williams (R.), The zeta function of an attractor, Conference of the Topology of Manifolds, 1967 (ed. Hocking), Prindle, Weber and Schmidt (1968), 155-161. | Zbl | MR

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

[18] Williams (R.), Expanding attractors, Publ. math. I.H.E.S., 43 (1974), 161-203. | Zbl | MR | Numdam | EuDML

[19] Guckenheimer (J.), On the bifurcation of maps of the interval, Inventiones Math., 39 (1977), 165-178. | Zbl | MR | EuDML

[20] Thom (R.), Mathematical Developments arising from Hilbert Problems, Proc. Symp. Pure Math., XXVII (1976) (Ed. Felix Browder), p. 59.

[21] Williams (R.), The Lorenz attractor, Turbulence Seminar, Springer Lecture Notes in Math., 615 (1977), 94-112. | Zbl | MR

[22] Williams (R.), The bifurcation space of the Lorenz attractor, Procceedings of the New York Acad. of Sci. (to appear). | Zbl