Bifurcation of contracting singular cycles

Rafael Labarca

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 6, page 705-745
  • ISSN: 0012-9593

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Labarca, Rafael. "Bifurcation of contracting singular cycles." Annales scientifiques de l'École Normale Supérieure 28.6 (1995): 705-745. <http://eudml.org/doc/82400>.

@article{Labarca1995,
author = {Labarca, Rafael},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {contracting singular cycle; first return map; foliation; bifurcation},
language = {eng},
number = {6},
pages = {705-745},
publisher = {Elsevier},
title = {Bifurcation of contracting singular cycles},
url = {http://eudml.org/doc/82400},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Labarca, Rafael
TI - Bifurcation of contracting singular cycles
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 6
SP - 705
EP - 745
LA - eng
KW - contracting singular cycle; first return map; foliation; bifurcation
UR - http://eudml.org/doc/82400
ER -

References

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  1. [1] R. BAMON, R. LABARCA, R. MAÑ;E and M. J. PACIFICO, The explosion of singular cycles (Publications Mathématiques I.H.E.S. 78 pg. 1993, pp. 207-232). Zbl0801.58010MR94m:58152
  2. [2] M. J. PACIFICO and A. ROVELLA, Unfolding contracting singular cycles (Ann. Scient. Ec. Norm. Sup., 4e série, T. 26, 1993, pp. 691-700). Zbl0802.58036MR94j:58133
  3. [3] R. LABARCA and M. J. PACIFICO, Stability of singular Horseshoes (Topology, Vol. 25, No. 3, 1986, pp. 337-352). Zbl0611.58033MR87h:58106
  4. [4] M. HIRSCH, C. PUGH and M. SHUB, Invariant manifolds (Lecture Notes in Mathematics, 583, Springer-Verlag, 1977). Zbl0355.58009MR58 #18595
  5. [5] A. ROVELLA, The dynamics of perturbations of the contracting Lorentz attractor (Bol. Soc. Bras. Mat., Vol. 24, No. 2, 1993, pp. 233-259). Zbl0797.58051MR95a:58097
  6. [6] R. MAÑ;E, Hyperbolicity, sinks and measure of one dimensional dynamics (Comm. in Math. Phys., Vol. 100, 1985, pp. 495-524 and Erratum Comm. in Math. Phys., Vol. 112, 1987, pp. 721-724). Zbl0583.58016
  7. [7] W. de MELO, Lectures on one-dimensional dynamics (17o. Coloquio Brasileiro de Matemática, IMPA, 1989). 
  8. [8] B. SAN MARTIN, Contracting singular cycles, Pre-print IMPA. 1995. 

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