@article{AIHPC_2003__20_5_867_0, author = {Mu\~noz Morales, Eduardo M and San Mart{\'\i}n Rebolledo, Bernardo and Vera Valenzuela, Jaime A}, title = {Nonhyperbolic persistent attractors near the {Morse-Smale} boundary}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {867--888}, publisher = {Elsevier}, volume = {20}, number = {5}, year = {2003}, doi = {10.1016/S0294-1449(03)00015-5}, zbl = {01975937}, language = {en}, url = {http://www.numdam.org/articles/10.1016/S0294-1449(03)00015-5/} }
TY - JOUR AU - Muñoz Morales, Eduardo M AU - San Martín Rebolledo, Bernardo AU - Vera Valenzuela, Jaime A TI - Nonhyperbolic persistent attractors near the Morse-Smale boundary JO - Annales de l'I.H.P. Analyse non linéaire PY - 2003 SP - 867 EP - 888 VL - 20 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S0294-1449(03)00015-5/ DO - 10.1016/S0294-1449(03)00015-5 LA - en ID - AIHPC_2003__20_5_867_0 ER -
%0 Journal Article %A Muñoz Morales, Eduardo M %A San Martín Rebolledo, Bernardo %A Vera Valenzuela, Jaime A %T Nonhyperbolic persistent attractors near the Morse-Smale boundary %J Annales de l'I.H.P. Analyse non linéaire %D 2003 %P 867-888 %V 20 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/S0294-1449(03)00015-5/ %R 10.1016/S0294-1449(03)00015-5 %G en %F AIHPC_2003__20_5_867_0
Muñoz Morales, Eduardo M; San Martín Rebolledo, Bernardo; Vera Valenzuela, Jaime A. Nonhyperbolic persistent attractors near the Morse-Smale boundary. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 5, pp. 867-888. doi : 10.1016/S0294-1449(03)00015-5. http://www.numdam.org/articles/10.1016/S0294-1449(03)00015-5/
[1] On iterations of 1−ax2 on (−1,1), Ann. Math. 122 (1985) 1-24. | Zbl
, ,[2] The dynamics of the Hénon map, Ann. Math. 133 (1991) 73-169. | MR | Zbl
, ,[3] The explosion of singular cycles, Publ. Math. IHES 78 (1993) 207-232. | EuDML | Numdam | MR | Zbl
, , , ,[4] On the abundance of aperiodic behaviour for maps on the interval, Comm. Phys. 73 (1980) 115-160. | MR | Zbl
, ,[5] Sensitive dependence to initial conditions for one dynamical maps, Comm. Math. Phys. 70 (1979) 133-160. | MR | Zbl
,[6] Bifurcation of contracting singular cycles, Ann. Scient. Ec. Norm. Sup. 4e Série 28 (1995) 705-745. | EuDML | Numdam | MR | Zbl
,[7] Stability of singular horseshoe, Topology 25 (1986) 337-352. | MR | Zbl
, ,[8] One-Dimensional Dynamics, Modern Surveys in Mathematics, 25, Springer-Verlag, Berlin, 1991. | Zbl
, ,[9] C. Morales, M.J. Pacifico, B. San Martín, Lorenz atractor from double homoclinic resonant cycles, Preprint.
[10] Abundance of strange attractors, Acta Math. 171 (1993) 1-71. | MR | Zbl
, ,[11] Unfolding contracting singular cycles, Ann. Scient. Éc. Norm. Sup. 4e Série 26 (1993) 691-700. | EuDML | Numdam | MR | Zbl
, ,[12] On Morse-Smale dynamical systems, Topology 8 (1969). | MR | Zbl
,[13] Structural Stability Theorems, Global Analysis, Proc. Symp. in Pure Math., XIV, American Mathematical Society, Providence, RI, 1970. | MR | Zbl
, ,[14] Hyperbolicity & Sensitive Chaotic Dynamics at Homoclinic Bifurcations, Cambridge Studies in Advanced Mathematics, 35, Cambridge University Press, Cambridge, 1993. | MR | Zbl
, ,[15] A. Rovella, The dynamics of perturbations of the contracting Lorenz attractor, Bol. Soc. Bras. Mat. 24 (2) 233-259. | MR | Zbl
[16] Contracting singular cycles, Ann. Inst. Henri Poincaré 15 (5) (1998) 651-659. | EuDML | Numdam | MR | Zbl
,[17] B. San Martín, J. Vera, Nonhyperbolic persistent attractors near the Morse-Smale boundary II, Informe de matemáticas UCN.
[18] Global Stability of Dynamical Systems, Springer-Verlag, Berlin, 1987. | MR | Zbl
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