Structural stability of Lorenz attractors

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1. [1] J. GUCKENHEIMER, 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. [2] J. GUCKENHEIMER, On Bifurcations of Maps of the Interval, Inv. Math., to appear. Zbl0354.58013
3. [3] M. HIRSCH, C. PUGH, Stable Manifolds and Hyperbolic Sets, Proceedings of Symposia in Pure Mathematics XIV, Am. Math. Soc. (1970), 133-163. Zbl0215.53001MR42 #6872
4. [4] M. HIRSCH, C. PUGH, M. SHUB, Invariant Manifolds, Springer Lecture Notes in Math., 583 (1977). Zbl0355.58009MR58 #18595
5. [5] E. LORENZ, Deterministic Nonperiodic Flow, Journal of Atmospheric Sciences, 20 (1963), 130-141. 
6. [6] J. PALIS, S. SMALE, Structural Stability Theorems, Proceedings of Symposia in Pure Mathematics XIV, Am. Math. Soc., 1970, 223-231. Zbl0214.50702MR42 #2505
7. [7] W. PARRY, Symbolic dynamics and transformations of the unit interval, Trans. Amer. Math. Soc., 122 (1966), 368-378. Zbl0146.18604MR33 #5846
8. [8] C. L. SIEGEL, J. MOSER, Lectures on Celestial Mechanics, Springer-Verlag, 1971. Zbl0312.70017MR58 #19464
9. [9] S. SMALE, Differential Dynamical Systems, Bull. Am. Math. Soc., 73 (1967), 747-817. Zbl0202.55202MR37 #3598
10. [10] F. TAKENS, Partially Hyperbolic Fixed Points, Topology, 10 (1971), 133-147. Zbl0214.22901MR46 #6399
11. [11] R. F. WILLIAMS, Expanding Attractors, Publ. I.H.E.S., no. 43 (1974), 196-203. Zbl0279.58013MR50 #1289
12. [12] R. F. WILLIAMS, The Structure of Lorenz Attractors, Preprint. Zbl0484.58021

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