Nonhyperbolic persistent attractors near the Morse–Smale boundary

Eduardo M Muñoz Morales; Bernardo San Martín Rebolledo; Jaime A Vera Valenzuela

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 5, page 867-888
  • ISSN: 0294-1449

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Muñoz Morales, Eduardo M, San Martín Rebolledo, Bernardo, and Vera Valenzuela, Jaime A. "Nonhyperbolic persistent attractors near the Morse–Smale boundary." Annales de l'I.H.P. Analyse non linéaire 20.5 (2003): 867-888. <http://eudml.org/doc/78600>.

@article{MuñozMorales2003,
author = {Muñoz Morales, Eduardo M, San Martín Rebolledo, Bernardo, Vera Valenzuela, Jaime A},
journal = {Annales de l'I.H.P. Analyse non linéaire},
language = {eng},
number = {5},
pages = {867-888},
publisher = {Elsevier},
title = {Nonhyperbolic persistent attractors near the Morse–Smale boundary},
url = {http://eudml.org/doc/78600},
volume = {20},
year = {2003},
}

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
PB - Elsevier
VL - 20
IS - 5
SP - 867
EP - 888
LA - eng
UR - http://eudml.org/doc/78600
ER -

References

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  12. [12] Palis J., On Morse–Smale dynamical systems, Topology8 (1969). Zbl0189.23902MR246316
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  14. [14] Palis J., Takens F., Hyperbolicity & Sensitive Chaotic Dynamics at Homoclinic Bifurcations, Cambridge Studies in Advanced Mathematics, 35, Cambridge University Press, Cambridge, 1993. Zbl0790.58014MR1237641
  15. [15] A. Rovella, The dynamics of perturbations of the contracting Lorenz attractor, Bol. Soc. Bras. Mat. 24 (2) 233–259. Zbl0797.58051MR1254985
  16. [16] San Martín B., Contracting singular cycles, Ann. Inst. Henri Poincaré15 (5) (1998) 651-659. Zbl0942.37039MR1643401
  17. [17] B. San Martín, J. Vera, Nonhyperbolic persistent attractors near the Morse–Smale boundary II, Informe de matemáticas UCN. Zbl1185.37041
  18. [18] Shub M., Global Stability of Dynamical Systems, Springer-Verlag, Berlin, 1987. Zbl0606.58003MR869255

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