@incollection{AST_2000__261__201_0, author = {Luzzatto, Stefano and Viana, Marcelo}, title = {Positive {Lyapunov} exponents for {Lorenz-like} families with criticalities}, booktitle = {G\'eom\'etrie complexe et syst\`emes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995}, editor = {Flexor Marguerite and Sentenac Pierrette and Yoccoz Jean-Christophe}, series = {Ast\'erisque}, pages = {201--237}, publisher = {Soci\'et\'e math\'ematique de France}, number = {261}, year = {2000}, mrnumber = {1755442}, zbl = {0944.37025}, language = {en}, url = {http://www.numdam.org/item/AST_2000__261__201_0/} }
TY - CHAP AU - Luzzatto, Stefano AU - Viana, Marcelo TI - Positive Lyapunov exponents for Lorenz-like families with criticalities BT - Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 AU - Collectif ED - Flexor Marguerite ED - Sentenac Pierrette ED - Yoccoz Jean-Christophe T3 - Astérisque PY - 2000 SP - 201 EP - 237 IS - 261 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2000__261__201_0/ LA - en ID - AST_2000__261__201_0 ER -
%0 Book Section %A Luzzatto, Stefano %A Viana, Marcelo %T Positive Lyapunov exponents for Lorenz-like families with criticalities %B Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 %A Collectif %E Flexor Marguerite %E Sentenac Pierrette %E Yoccoz Jean-Christophe %S Astérisque %D 2000 %P 201-237 %N 261 %I Société mathématique de France %U http://www.numdam.org/item/AST_2000__261__201_0/ %G en %F AST_2000__261__201_0
Luzzatto, Stefano; Viana, Marcelo. Positive Lyapunov exponents for Lorenz-like families with criticalities, in Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995, Astérisque, no. 261 (2000), pp. 201-237. http://www.numdam.org/item/AST_2000__261__201_0/
[1] On attracting structurally unstable limit sets of Lorenz type attractors, Trans. Moscow Math. Soc. 44 (1982), 153-216. | MR | Zbl
, , and ,[2] On iterations of on , Annals of Math. 122 (1985), 1-25. | MR | Zbl
and ,[3] The dynamics of the Heéon map, Annals of Math. 133 (1991), 73-169. | DOI | MR | Zbl
and ,[4] On the abundance of aperiodic behaviour, Comm. Math. Phys. 73 (1980), 115-160. | DOI | MR | Zbl
and ,[5] A strange, strange attractor, The Hoproof bifurcation theorem and its applications (M. J.E. Marsden, McCracken, ed.), Springer-Verlag, 1976, 368-381. | DOI | MR
,[6] Structural stability of Lorenz attractors, Publ. Math. IHES 50 (1979), 307-320. | DOI | EuDML | Numdam | MR | Zbl
and ,[7] A two dimensional mapping with a strange attractor, Comm. Math. Phys. 50 (1976), 69-77. | DOI | MR | Zbl
,[8] Two strange attractors with a simple structure, Lect. Notes in Math. 565 (1976), 29-68. | MR | Zbl
and ,[9] Absolutely continuous invariant measures for one-parameter families of one-dimensional maps, Comm. in Math. Phys. (1981), 39-88. | DOI | MR | Zbl
,[10] Lorenz-like attractors without invariant foliations, in preparation.
and ,[11] Deterministic nonperiodic flow, J. Atmosph. Sci. 20 (1963), 130-141. | DOI | Zbl
,[12] Absolutely continuous invariant measures for certain interval maps, Publ. Math. IHES 53 (1981), 17-51. | DOI | EuDML | Numdam | MR | Zbl
,[13] Hyperbolicity and sensitive-chaotic dynamics at homoclinic bifurcations, Cambridge University Press, 1993. | MR | Zbl
and ,[14] The dynamics of perturbations of the contracting Lorenz attractor, Bull. Braz. Math. Soc. 24 (1993), 233-259. | DOI | MR | Zbl
,[15] The Lorenz equations bifurcations, chaos and strange attractors, Applied Mathematical Sciences, vol. 41, Springer-Verlag, 1982. | DOI | MR | Zbl
,[16] Exposant de Lyapunov positif dans des familles à un paramètre d'applications unimodales, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), 69-72. | MR | Zbl
, , and ,