@article{PMIHES_1979__50__59_0, author = {Guckenheimer, John and Williams, Robert F.}, title = {Structural stability of {Lorenz} attractors}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {59--72}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {50}, year = {1979}, zbl = {0436.58018}, mrnumber = {82b:58055a}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1979__50__59_0/} }
TY - JOUR AU - Guckenheimer, John AU - Williams, Robert F. TI - Structural stability of Lorenz attractors JO - Publications Mathématiques de l'IHÉS PY - 1979 DA - 1979/// SP - 59 EP - 72 VL - 50 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1979__50__59_0/ UR - https://zbmath.org/?q=an%3A0436.58018 UR - https://www.ams.org/mathscinet-getitem?mr=82b:58055a LA - en ID - PMIHES_1979__50__59_0 ER -
Guckenheimer, John; Williams, Robert F. Structural stability of Lorenz attractors. Publications Mathématiques de l'IHÉS, Tome 50 (1979), pp. 59-72. http://www.numdam.org/item/PMIHES_1979__50__59_0/
[1] A Strange, Strange Attractor, in The Hopf Bifurcation Theorem and its Applications, ed. by J. E. MARSDEN and M. MCCRACKEN, Springer-Verlag (1976), 368-381.
,[2] On Bifurcations of Maps of the Interval, Inv. Math., to appear.
,[3] Stable Manifolds and Hyperbolic Sets, Proceedings of Symposia in Pure Mathematics XIV, Am. Math. Soc. (1970), 133-163. | MR 42 #6872 | Zbl 0215.53001
, ,[4] Invariant Manifolds, Springer Lecture Notes in Math., 583 (1977). | MR 58 #18595 | Zbl 0355.58009
, , ,[5] Deterministic Nonperiodic Flow, Journal of Atmospheric Sciences, 20 (1963), 130-141.
,[6] Structural Stability Theorems, Proceedings of Symposia in Pure Mathematics XIV, Am. Math. Soc., 1970, 223-231. | MR 42 #2505 | Zbl 0214.50702
, ,[7] Symbolic dynamics and transformations of the unit interval, Trans. Amer. Math. Soc., 122 (1966), 368-378. | MR 33 #5846 | Zbl 0146.18604
,[8] Lectures on Celestial Mechanics, Springer-Verlag, 1971. | MR 58 #19464 | Zbl 0312.70017
, ,[9] Differential Dynamical Systems, Bull. Am. Math. Soc., 73 (1967), 747-817. | MR 37 #3598 | Zbl 0202.55202
,[10] Partially Hyperbolic Fixed Points, Topology, 10 (1971), 133-147. | MR 46 #6399 | Zbl 0214.22901
,[11] Expanding Attractors, Publ. I.H.E.S., no. 43 (1974), 196-203. | Numdam | MR 50 #1289 | Zbl 0279.58013
,[12] The Structure of Lorenz Attractors, Preprint. | Numdam | Zbl 0484.58021
,