Construction de flots de Smale en dimension 3

F. Béguin; C. Bonatti; J. L. Vieitez

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 3, page 369-410
  • ISSN: 0240-2963

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Béguin, F., Bonatti, C., and Vieitez, J. L.. "Construction de flots de Smale en dimension 3." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.3 (1999): 369-410. <http://eudml.org/doc/73493>.

@article{Béguin1999,
author = {Béguin, F., Bonatti, C., Vieitez, J. L.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {flows; hyperbolic sets; Smale flow},
language = {fre},
number = {3},
pages = {369-410},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Construction de flots de Smale en dimension 3},
url = {http://eudml.org/doc/73493},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Béguin, F.
AU - Bonatti, C.
AU - Vieitez, J. L.
TI - Construction de flots de Smale en dimension 3
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 3
SP - 369
EP - 410
LA - fre
KW - flows; hyperbolic sets; Smale flow
UR - http://eudml.org/doc/73493
ER -

References

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  2. [2] Birman ( J.S.) et Williams ( R.F.). — Knotted periodic orbits in dynamical systems II : knots holders for fibered knots. Contemporary mathematics, Volume 20, 1983. Zbl0526.58043MR718132
  3. [3] Blanchard ( P.) et Franks ( J.). — An obstruction to the existence of certain dynamics on surfaces. Ergodic theory and Dynamical systems1, pages 255-260, 1981. Zbl0502.58030MR662468
  4. [4] Bonatti ( C.) et Langevin ( R.) avec la collaboration de E. Jeandenans. Difféomorphismes de Smale des surfaces. Astérisque, vol. 250, 1998. Zbl0922.58058MR1650926
  5. [5] Bowen ( R.). - One dimensional hyperbolic sets for flows. Journal of Differential Equations12, pages 173-179, 1972. Zbl0242.58005MR336762
  6. [6] Franks ( J.). — Symbolic dynamics in flows on three manifolds. Transactions of the American Mathematical Society 279, volume 1, pages 231-236, 1983. Zbl0534.58032MR704612
  7. [7] Ghrist ( R.W.), Holmes ( P.J.) et Sullivan ( M.C.). — Knots and Links in Three-Dimesnional Flows. Lect. Note in Math., vol. 1654, Springer-Verlag, 1997. Zbl0869.58044MR1480169
  8. [8] Hayashi ( S.). — Connecting invariant manifolds and the solution of the C1-stability and Ω-stability conjectures for flows. Annals of mathematics145, pages 81-137, 1997. Zbl0871.58067MR1432037
  9. [9] Hirsch ( M.), Pugh ( C.) et Shub ( M.). - Invariant manifolds. Lectures Notes in Mathematics583, Springer-Verlag, 1977. Zbl0355.58009MR501173
  10. [10] Jeandenans ( E.). — Difféomorphismes hyperboliques des surfaces et combinatoire des partitions de Markov. Thèse de doctorat de l'Université de Bourgogne, 1996. 
  11. [11] Parry ( W.) and Sullivan ( D.). — A topological invariant for flows on one-dimensional spaces. Topology14, pages 297-299, 1975. Zbl0314.54045MR405385
  12. [12] Pugh ( C.) et Shub ( M.). - Suspending subshifts. In Contributions to geometry and Analysis, C. Percelli and R. Sackester editors, John Hopkins University Press, 1981. Zbl0585.58034MR648471
  13. [13] Robinson ( C.). - Structural stability of C1 flows. Dynamical systems (Warwick, 1974), Lecture Notes in Mathematics468, pages 262-277, Springer Verlag, 1975. Zbl0307.58012MR650640

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