High dimension diffeomorphisms exhibiting infinitely many strange attractors

Bladismir Leal

Annales de l'I.H.P. Analyse non linéaire (2008)

  • Volume: 25, Issue: 3, page 587-607
  • ISSN: 0294-1449

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Leal, Bladismir. "High dimension diffeomorphisms exhibiting infinitely many strange attractors." Annales de l'I.H.P. Analyse non linéaire 25.3 (2008): 587-607. <http://eudml.org/doc/78802>.

@article{Leal2008,
author = {Leal, Bladismir},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {diffeomorphisms; homoclinic tangency; strange attractors},
language = {eng},
number = {3},
pages = {587-607},
publisher = {Elsevier},
title = {High dimension diffeomorphisms exhibiting infinitely many strange attractors},
url = {http://eudml.org/doc/78802},
volume = {25},
year = {2008},
}

TY - JOUR
AU - Leal, Bladismir
TI - High dimension diffeomorphisms exhibiting infinitely many strange attractors
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2008
PB - Elsevier
VL - 25
IS - 3
SP - 587
EP - 607
LA - eng
KW - diffeomorphisms; homoclinic tangency; strange attractors
UR - http://eudml.org/doc/78802
ER -

References

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  9. [9] Palis J., Takens F., Hyperbolicity and Sensitive-Chaotic Dynamics at Homoclinic Bifurcations, Cambridge University Press, 1993. Zbl0790.58014MR1237641
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  11. [11] Pumariño A., Rodriguez J.A., Coexistence and persistence of infinitely many strange attractors, Ergodic Theory Dynam. Systems21 (2001) 1511-1523. Zbl1073.37514MR1855845
  12. [12] Smale S., Differentiable dynamical systems, Bull. Amer. Math. Soc.73 (1967) 747-817. Zbl0202.55202MR228014
  13. [13] Sternberg E., On the structure of local homeomorphisms of euclidean n-space – II, Amer. J. Math.80 (1958) 623-631. Zbl0083.31406MR96854
  14. [14] Tresser C., Gambaudo J.M., Diffeomorphisms with infinitely many strange attractors, J. Complexity6 (1990) 409-416. Zbl0717.58041MR1085387
  15. [15] Viana M., Strange attractors in higher dimensions, Bull. Braz. Math. Soc.24 (1993) 13-62. Zbl0784.58044MR1224299
  16. [16] Yorke J.A., Alligood K.T., Cascades of period doubling bifurcations a prerequisite for horseshoes, Bull. Amer. Math. Soc.9 (1983) 319-322. Zbl0541.58039MR714994

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