Calcul explicite des constantes de renormalisation pour des classes particulières de fonctions unimodales

M. Cosnard; A. Eberhard

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 41, Issue: 4, page 399-427
  • ISSN: 0246-0211

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Cosnard, M., and Eberhard, A.. "Calcul explicite des constantes de renormalisation pour des classes particulières de fonctions unimodales." Annales de l'I.H.P. Physique théorique 41.4 (1984): 399-427. <http://eudml.org/doc/76267>.

@article{Cosnard1984,
author = {Cosnard, M., Eberhard, A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {piecewise-affine functions; renormalization operator; nonanalytic families; renormalization constants; fixed point; Feigenbaum function},
language = {fre},
number = {4},
pages = {399-427},
publisher = {Gauthier-Villars},
title = {Calcul explicite des constantes de renormalisation pour des classes particulières de fonctions unimodales},
url = {http://eudml.org/doc/76267},
volume = {41},
year = {1984},
}

TY - JOUR
AU - Cosnard, M.
AU - Eberhard, A.
TI - Calcul explicite des constantes de renormalisation pour des classes particulières de fonctions unimodales
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 41
IS - 4
SP - 399
EP - 427
LA - fre
KW - piecewise-affine functions; renormalization operator; nonanalytic families; renormalization constants; fixed point; Feigenbaum function
UR - http://eudml.org/doc/76267
ER -

References

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  2. [2] P. Collet, J.P. Eckmann et Lanford, Universal properties of maps on an interval, Commun. Math. Phys., t. 76, 1980, p. 211-254. Zbl0455.58024MR588048
  3. [3] P. Collet et J.P. Eckmann, Iterated maps on the interval as dynamical systems. Birkhäser, Boston-Basel-Stuggart, 1980. Zbl0458.58002MR613981
  4. [4] M. Cosnard, Comportement d'itérations d'un opérateur de renormalisation, RAIRO. Anal. Num., T. 16, 1982, p. 4. Zbl0502.39004MR684828
  5. [5] M. Cosnard, Étude des solutions de l'équation fonctionnelle de Feigenbaum, Bifurcation, théorie ergodique et applications; Astérique, 98-99, 1982, p. 143-162. Zbl0519.58031MR724445
  6. [6] M. Cosnard et A. Eberhard, Étude d'un opérateur de renormalisation; Première partie : Construction de points fixes. Rapp. Rech. IMAG, 1982, p. 305. 
  7. [7] P. Coullet et J. Tresser, Itérations d'endomorphismes et groupe de renormalisation, C. R. Acad. Sc. Paris, t. 287, 1978, p. 577-580. Zbl0402.54046MR512110
  8. [8] B. Derrida, A. Gervois et Y. Pommeau, Universal metric properties of bifurcations of endomorphisms. J. Phys. A : Math. Gen., t. 12, 3, 1979, p. 269-296. Zbl0416.28011MR524170
  9. [9] J. Dieudonné, Éléments d'analyse 3, Gauthier-Villars, Paris, 1978. 
  10. [10] M. Feigenbaum, The universal metric properties of non-linear transformations, J. Stat. Phys., t. 21, 1979, p. 25-52. Zbl0515.58028MR555919
  11. [11] M. Feigenbaum, The transition to aperiodic behavior in turbulent systems, Commun, Math. Phys., t. 77, 1980, p. 85-86. Zbl0465.76050MR588687
  12. [12] O.E. Lanford, III, Smooths transformations of intervals. Séminaire Bourbaki, 563, 1980, p. 1-19. Zbl0514.58028
  13. [13] O.E. Lanford, III, A computer-assisted proof of the Feigenbaum conjectures, IHES, Preprint, 1981, p. 17-81. 
  14. [14] M. Shub, Stabilité globale des systèmes dynamiques, Astérisque, Paris, 56, 1978. Zbl0396.58014MR513592

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