Degenerated singular cycles of inclination-flip type

C. A. Morales; M. J. Pacífico

Annales scientifiques de l'École Normale Supérieure (1998)

  • Volume: 31, Issue: 1, page 1-16
  • ISSN: 0012-9593

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Morales, C. A., and Pacífico, M. J.. "Degenerated singular cycles of inclination-flip type." Annales scientifiques de l'École Normale Supérieure 31.1 (1998): 1-16. <http://eudml.org/doc/82455>.

@article{Morales1998,
author = {Morales, C. A., Pacífico, M. J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {three-dimensional vector fields; degenerate singular cycle; hyperbolic singularity; periodic orbit; heteroclinic connection; bifurcation},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Elsevier},
title = {Degenerated singular cycles of inclination-flip type},
url = {http://eudml.org/doc/82455},
volume = {31},
year = {1998},
}

TY - JOUR
AU - Morales, C. A.
AU - Pacífico, M. J.
TI - Degenerated singular cycles of inclination-flip type
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1998
PB - Elsevier
VL - 31
IS - 1
SP - 1
EP - 16
LA - eng
KW - three-dimensional vector fields; degenerate singular cycle; hyperbolic singularity; periodic orbit; heteroclinic connection; bifurcation
UR - http://eudml.org/doc/82455
ER -

References

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  1. [BLMP] R. BAMÓN, R. LABARCA, R. MAÑ;É and M. J. PACÍFICO, The explosion of Singular Cycles (Publ. Math. IHES, Vol. 78, 1993, pp. 207-232). Zbl0801.58010MR94m:58152
  2. [HKK] A. J. HOMBURG, H. KOKUBU and H. KRUPA, The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbits (Erg. Th. & Dyn. Sys., Vol. 14, 1994, pp. 667-693). Zbl0864.58044MR96a:58134
  3. [HPS] M. HIRSCH, C. C. PUGH and M. SHUB, Invariant Manifolds, LNM 583. Zbl0355.58009MR58 #18595
  4. [M] C. A. MORALES, On inclination-flip homoclinic orbit associated to a saddle-node equilibria (Bol. Soc. Bras. Mat., Vol. 27, 1996, pp. 145-160). Zbl0895.58043MR97h:58118
  5. [N] V. NAUDOT, Hyperbolic Dynamic nearby an unfolded degenerate homoclinic orbit, To appear in Erg. Th. & Dyn. Sys. 
  6. [PR] M. J. PACÍFICO and A. ROVELLA, Unfolding contracting singular cycles (Ann. Scient. É. Norm. Sup. 4e sér., Vol. 26, 1994, pp. 691-700). Zbl0802.58036MR94j:58133
  7. [PT] J. PALIS and F. TAKENS, Hyperbolicity and sensitive chaotic dynamic at homoclinic bifurcation, Cambridge University Press, Vol. 35, 1992. Zbl0790.58014MR94h:58129
  8. [Ry] M. R. RYCHLIC, Lorenz attractor through Silnikov-type bifurcations (Erg. Th. & Dyn. Sys., Vol. 10, 1990, pp. 793-821). Zbl0715.58027MR92f:58103
  9. [S] B. SAN MARTIN, Contracting Singular Cycles, Preprint IMPA to appear. Zbl0942.37039

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