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Table of contents for this issue | Next article Hubbard, John H.; Oberste-Vorth, Ralph W. Hénon mappings in the complex domain I : the global topology of dynamical space. Publications Mathématiques de l'IHÉS, 79 (1994), p. 5-46 Full text djvu | pdf | Reviews MR 96a:58157 | Zbl 0839.54029 | 2 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1994__79__5_0 Bibliography [B] BEDFORD, E., Iteration of polynomial automorphisms of C2, Proceedings of the International Congress of Mathematicians, [BS1] BEDFORD, E. and SMILLIE, J., Polynomial diffeomorphisms of C2 : currents, equilibrium measure, and hyperbolicity, Invent. Math., 103 ( [BS2] BEDFORD, E. and SMILLIE, J., Fatou-Bieberbach domains arising from polynomial automorphisms, Indiana U. Math. J., 40 ( [BS3] BEDFORD, E. and SMILLIE, J., Polynomial diffeomorphisms of C2, II : Stable manifolds and recurrence, J. Amer. Math. Soc., 4 ( [BS4] BEDFORD, E. and SMILLIE, J., Polynomial diffeomorphisms of C2, III : Ergodicity, exponents, and entropy of the equilibrium measure, Math. Ann. (to appear). Zbl 0765.58013 [BLS] BEDFORD, E., LYUBICH, M. and SMILLIE, J., Polynomial diffeomorphisms of C2, IV : The measure of maximal entropy and laminar currents, (to appear). Zbl 0792.58034 [BC] BENEDICKS, M. and CARLESON, L., The dynamics of the Hénon map, Ann. Math., 133 ( [Bi] BIEBERBACH, L., Beispiel zweier ganzer Funktionen zweier komplexer Variabeln, welche eine schlicht volumetreue Abbildung des R4 auf einen Teil seiner selbst vermitteln, Sitzungsber. Preuss. Akad. Wiss. Berlin, Phys-math. Kl. ( [BH] BRANNER, B., HUBBARD, J., The dynamics of cubic polynomials, II : Patterns and parapatterns, Acta Math., 169 ( [Br] BROLIN, H., Invariant sets under iteration of rational functions, Ark. Math., 6 ( [D] DOLD, A., Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology, 4 ( [DH] DOUADY, A. et HUBBARD, J., Etude dynamique des polynômes complexes, Publications mathématiques d'Orsay, Université de Paris-Sud ( [EE] EARLE, C. and EELLS, J., A fibre bundle description of Teichmüller theory, J. Diff. Geom., 3 ( [F] FATOU, P., Sur les fonctions méromorphes de deux variables, C. R. Acad. Sc. Paris, 175 ( [FS] FORNÆSS, J. and SIBONY, N., Complex Hénon mappings in C2 and Fatou-Bieberbach domains, Duke Math. J., 65 ( Article | Zbl 0761.32015 [FM] FRIEDLAND, S. and MILNOR, J., Dynamical properties of plane polynomial automorphisms, Ergod Th. & Dynam. Syst., 9 ( [G] GUNNING, R., Introduction to Holomorphic Functions of Several Variables, Vol. III : Homological Theory, Wadsworth & Brooks/Cole, Belmont, CA, [Ha] HAMSTROM, M., Homotopy groups of the space of homeomorphisms, Ill. J. Math., 10 ( [Hé1] HÉNON, M., Numerical study of quadratic area preserving mappings, Q. Appl. Math., 27 ( [Hé2] HÉNON, M., A two-dimensional mapping with a strange attractor, Commun. Math. Phys., 50 ( Article | MR 54 #10917 | Zbl 0576.58018 [Ho] HOLMES, P., Bifurcation sequences in horseshoe maps : infinitely many routes to chaos, Phys. Lett. A, 104 ( [HWh] HOLMES, P. and WHITLEY, R., Bifurcations of one- and two-dimensional maps, Philos. Trans. Roy. Soc. London, Ser. A, 311 ( [HWi] HOLMES, P. and WILLIAMS, R., Knotted periodic orbits in suspensions of Smale's horseshoe : torus knots and bifurcation sequences, Arch. Rational Mech. Anal., 90 ( [H] HUBBARD, J., The Hénon mappings in the complex domain, in Chaotic Dynamics and Fractals (M. Barnsley and S. Demko, ed.), Academic Press, New York, [HY] HUBBARD, J., Local connectivity of Julia sets and bifurcation loci : three theorems of J.-C. Yoccoz, in Topological Methods in Modern Mathematics : A Symposium in Honor of John Milnor's Sixtieth Birthday, Publish or Perish, Houston, Texas, [HO] HUBBARD, J. and OBERSTE-VORTH, R., Hénon mappings in the complex domain, II : projective and inductive limits of polynomials, in Real and Complex Dynamics, Kluwer, Amsterdam, [M1] MILNOR, J., Non-expansive Hénon maps, Adv. in Math., 69 ( [M2] MILNOR, J., Dynamics in one complex variable : introductory lectures, preprint, Institute for Mathematical Sciences, SUNY, Stony Brook ( [MV] MORA, L. and VIANA, M., Abundance of strange attractors, Acta Math. (to appear). Zbl 0815.58016 [O] OBERSTE-VORTH, R., Complex horseshoes (to appear). [Sm] SMALE, S., Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 ( Article | MR 37 #3598 | Zbl 0202.55202 [S] SMILLIE, J., The entropy of polynomial diffeomorphisms of C2, Ergod. Th. and Dynam. Syst., 10 ( [T] THURSTON, W., The combinatorics of rational maps (to appear). [vD] VAN DANTZIG, D., Über topologisch homogene Kontinua, Fund. Math., 14 ( Article | JFM 56.1130.01 [V] VIETORIS, L., Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen, Math. Ann., 97 ( [W] WILLIAMS, R., One-dimensional nonwandering sets, Topology, 6 ( [Y] YOCCOZ, J., Sur la connectivité locale de M, unpublished ( |
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