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

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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>.

@article{Pacífico1993,
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},
}

TY - JOUR
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 -

References

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  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

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  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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