@incollection{AST_2003__286__187_0, author = {Bonatti, Christian and D{\'\i}az, Lorenzo J. and Pujals, Enrique R. and Rocha, Jorge}, title = {Robustly transitive sets and heterodimensional cycles}, booktitle = {Geometric methods in dynamics (I) : Volume in honor of Jacob Palis}, editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe}, series = {Ast\'erisque}, pages = {187--222}, publisher = {Soci\'et\'e math\'ematique de France}, number = {286}, year = {2003}, mrnumber = {2052302}, zbl = {1056.37024}, language = {en}, url = {http://www.numdam.org/item/AST_2003__286__187_0/} }
TY - CHAP AU - Bonatti, Christian AU - Díaz, Lorenzo J. AU - Pujals, Enrique R. AU - Rocha, Jorge TI - Robustly transitive sets and heterodimensional cycles BT - Geometric methods in dynamics (I) : Volume in honor of Jacob Palis AU - Collectif ED - de Melo, Wellington ED - Viana, Marcelo ED - Yoccoz, Jean-Christophe T3 - Astérisque PY - 2003 SP - 187 EP - 222 IS - 286 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2003__286__187_0/ LA - en ID - AST_2003__286__187_0 ER -
%0 Book Section %A Bonatti, Christian %A Díaz, Lorenzo J. %A Pujals, Enrique R. %A Rocha, Jorge %T Robustly transitive sets and heterodimensional cycles %B Geometric methods in dynamics (I) : Volume in honor of Jacob Palis %A Collectif %E de Melo, Wellington %E Viana, Marcelo %E Yoccoz, Jean-Christophe %S Astérisque %D 2003 %P 187-222 %N 286 %I Société mathématique de France %U http://www.numdam.org/item/AST_2003__286__187_0/ %G en %F AST_2003__286__187_0
Bonatti, Christian; Díaz, Lorenzo J.; Pujals, Enrique R.; Rocha, Jorge. Robustly transitive sets and heterodimensional cycles, dans Geometric methods in dynamics (I) : Volume in honor of Jacob Palis, Astérisque, no. 286 (2003), pp. 187-222. http://www.numdam.org/item/AST_2003__286__187_0/
[Ar] Creation de connexions en topologie
[AS] Nongenericity of
[B] A local mechanism for robust transitivity, Lecture at the Seminar of Dynamical Systems, IMPA, August (1996).
,[BD1] Persistence of transitive diffeomorphims, Ann. Math., 143, 367-396, (1995).
and ,[BD2] Connexions hétéroclines et généricité d'une infinité de puits ou de sources, Ann. Scient. Éc. Norm. Sup., 4e série, t32, 135-150, (1999). | DOI | EuDML | Numdam | MR | Zbl
and ,
[BDP] A
[BV]
[CMP] Homoclinic classes for
[D] Robust nonhyperbolic dynamics and heterodimensional cycles, Ergod. Th. & Dynam. Syst., 15, 291-315, (1995). | MR | Zbl
,[DR] Partially hyperbolic and transitive dynamics generated by heterochnic cycles, Ergod. Th. & Dynam. Syst., 25, 25-76, (2001). | MR | Zbl
and ,[DPU] Partial hyperbolicity and robust transitivity, Acta Mathematica, 183, 1-43, (1999). | DOI | MR | Zbl
, , and ,[F] Necessary conditions for stability of diffeomorphisms, Trans. A.M.S., 158, 301-308, (1971). | DOI | MR | Zbl
,
[H] Connecting invariant manifolds and the solution of the
[M1] Contributions to the stability conjecture, Topology, 17, 386-396, (1978). | DOI | MR | Zbl
,[M2] An ergodic closing lemma, Ann. of Math., 116, 503-540, (1982). | DOI | MR | Zbl
,[N] Diffeomorphisms with infinitely many sinks, Topology, 13, 9-18, (1974). | DOI | MR | Zbl
,[R] Persistence of homoclinic tangencies in higher dimensions, Ergod. Th. & Dynam. Syst., 15, 735-759, (1995). | DOI | MR | Zbl
,[Pa] A global view of dynamics and a conjecture on the denseness and finitude of attractors, Astérisque, 261, 335-347, (2000). | Numdam | MR | Zbl
,[PV] High dimension diffeomorphisms displaying infinitely many sinks, Ann. of Math., 140, 207-250, (1994). | DOI | MR | Zbl
and ,[Pu] The closing lemma, Amer. Jour. of Math., 89, 956-1009, (1967). | DOI | MR | Zbl
,
[Sh] Topological transitive diffeomorphism on
[Si] A
[Sm] Differentiable dynamical systems, Bull. A.M.S., 73, 747-817, (1967). | DOI | MR | Zbl
,[YA] Cascades of period doubling bifurcations: a prerequisite for horseshoes, Bull. Amer. Math. Soc. (New Series), 9, 319-323, (1983). | DOI | MR | Zbl
and ,