Unfolding contracting singular cycles

M. J. Pacífico; A. Rovella

Annales scientifiques de l'École Normale Supérieure (1993)

  • Volume: 26, Issue: 6, page 691-700
  • ISSN: 0012-9593

How to cite


Pacífico, M. J., and Rovella, A.. "Unfolding contracting singular cycles." Annales scientifiques de l'École Normale Supérieure 26.6 (1993): 691-700. <http://eudml.org/doc/82353>.

author = {Pacífico, M. J., Rovella, A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Morse-Smale vector field; singular cycle; hyperbolic flows},
language = {eng},
number = {6},
pages = {691-700},
publisher = {Elsevier},
title = {Unfolding contracting singular cycles},
url = {http://eudml.org/doc/82353},
volume = {26},
year = {1993},

AU - Pacífico, M. J.
AU - Rovella, A.
TI - Unfolding contracting singular cycles
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1993
PB - Elsevier
VL - 26
IS - 6
SP - 691
EP - 700
LA - eng
KW - Morse-Smale vector field; singular cycle; hyperbolic flows
UR - http://eudml.org/doc/82353
ER -


  1. [BMLP] R. BAMÓN, R. LABARCA, R. MAÑ;É and M. J. PACIFICO, The Explosion of Singular Cycles (to appear at Publ. Math. IHES). Zbl0801.58010
  2. [HPS] M. HIRSCH, C. PUGH and M. SHUB, Invariant Manifolds (Lecture Notes in Mathematics, Vol. 583, Springer-Verlag, 1977). Zbl0355.58009MR58 #18595
  3. [LP] R. LABARCA and M. J. PACIFICO, Stability of Singular Horseshoes (Topology, Vol. 25, n° 3, 1986). Zbl0611.58033MR87h:58106
  4. [R] A. ROVELLA, The Dynamics of Perturbations of the Contracting Lorenz Attractor (Thesis, IMPA and to appear at Bol. Soc. Bras. Mat.). Zbl0797.58051
  5. [S] S. SINGER, Stable Orbits and Bifurcations of Maps of the Interval (SIAM, J. Appl. Math., Vol. 35, 1978). Zbl0391.58014MR58 #13206

Citations in EuDML Documents

  1. Bernardo San Martín, Contracting singular cycles
  2. Rafael Labarca, Bifurcation of contracting singular cycles
  3. C. A. Morales, M. J. Pacífico, Degenerated singular cycles of inclination-flip type
  4. Eduardo M Muñoz Morales, Bernardo San Martín Rebolledo, Jaime A Vera Valenzuela, Nonhyperbolic persistent attractors near the Morse–Smale boundary
  5. Bernardo San Martín, Saddle-focus singular cycles and prevalence of hyperbolicity
  6. C. A. Morales, E. R. Pujals, Singular strange attractors on the boundary of Morse-Smale systems

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