On the topology of solenoidal attractors of the cylinder

Rodrigo Bamón; Jan Kiwi[1]; Juan Rivera-Letelier; Richard Urzúa

  • [1] Facultad de Matemáticas Pontificia Universidad Católica Casilla 306, Correo 22, Santiago (Chile)

Annales de l'I.H.P. Analyse non linéaire (2006)

  • Volume: 23, Issue: 2, page 209-236
  • ISSN: 0294-1449

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Bamón, Rodrigo, et al. "On the topology of solenoidal attractors of the cylinder." Annales de l'I.H.P. Analyse non linéaire 23.2 (2006): 209-236. <http://eudml.org/doc/78690>.

@article{Bamón2006,
affiliation = {Facultad de Matemáticas Pontificia Universidad Católica Casilla 306, Correo 22, Santiago (Chile)},
author = {Bamón, Rodrigo, Kiwi, Jan, Rivera-Letelier, Juan, Urzúa, Richard},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {attractors; endomorphisms},
language = {eng},
number = {2},
pages = {209-236},
publisher = {Elsevier},
title = {On the topology of solenoidal attractors of the cylinder},
url = {http://eudml.org/doc/78690},
volume = {23},
year = {2006},
}

TY - JOUR
AU - Bamón, Rodrigo
AU - Kiwi, Jan
AU - Rivera-Letelier, Juan
AU - Urzúa, Richard
TI - On the topology of solenoidal attractors of the cylinder
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2006
PB - Elsevier
VL - 23
IS - 2
SP - 209
EP - 236
LA - eng
KW - attractors; endomorphisms
UR - http://eudml.org/doc/78690
ER -

References

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  2. [2] Contreras G., Lopes A.O., Thieullen Ph., Lyapunov minimizing measures for expanding maps of the circle, Ergodic Theory Dynam. Systems21 (2001) 1379-1409. Zbl0997.37016MR1855838
  3. [3] Dobrynskiĭ V.A., There exist endomorphisms of a plane that have two-dimensional attractors, Dokl. Akad. Nauk364 (1999) 303-305. Zbl0963.37022MR1706213
  4. [4] Frederickson P., Kaplan J.L., Yorke E.D., Yorke J.A., The Liapunov dimension of strange attractors, J. Differential Equations49 (1983) 185-207. Zbl0515.34040MR708642
  5. [5] O. Jenkinson, R.D. Mauldin, M. Urbański, Ergodic optimization for non-compact dynamical systems, preprint, September 2004. Zbl1170.28303
  6. [6] Kaplan J.L., Yorke J.A., Chaotic behavior of multidimensional difference equations, in: Functional differential equations and approximation of fixed points, Proc. Summer School and Conf., Univ. Bonn, Bonn, 1978, Lecture Notes in Math., vol. 730, Springer, Berlin, 1979, pp. 204-227. Zbl0448.58020MR547989
  7. [7] Katznelson Y., An Introduction to Harmonic Analysis, Dover, 1976. Zbl0352.43001MR422992
  8. [8] Milnor J., On the concept of attractor, Comm. Math. Phys.99 (1985) 177-195. Zbl0595.58028MR790735
  9. [9] Pryzyticki F., On U-stability and structural stability of endomorphisms satisfying Axiom A, Studia Math.60 (1977) 61-77. Zbl0343.58008MR445553
  10. [10] Tsujii M., Fat solenoidal attractors, Nonlinearity14 (2001) 1011-1027. Zbl1067.37028MR1862809
  11. [11] Tsujii M., Physical measures for partially hyperbolic surface endomorphisms, math.DS/0301243. Zbl1105.37022
  12. [12] Viana M., Multidimensional nonhyperbolic attractors, Inst. Hautes Études Sci. Publ. Math.85 (1997) 63-96. Zbl1037.37016MR1471866

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