Interactions entre bifurcation par brisure partielle de symétrie sphérique

P. Chossat

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 1, page 117-145
  • ISSN: 0012-9593

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Chossat, P.. "Interactions entre bifurcation par brisure partielle de symétrie sphérique." Annales scientifiques de l'École Normale Supérieure 15.1 (1982): 117-145. <http://eudml.org/doc/82087>.

@article{Chossat1982,
author = {Chossat, P.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {equivariant bifurcation; symmetry breaking; rotating waves; secondary bifurcation},
language = {fre},
number = {1},
pages = {117-145},
publisher = {Elsevier},
title = {Interactions entre bifurcation par brisure partielle de symétrie sphérique},
url = {http://eudml.org/doc/82087},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Chossat, P.
TI - Interactions entre bifurcation par brisure partielle de symétrie sphérique
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 1
SP - 117
EP - 145
LA - fre
KW - equivariant bifurcation; symmetry breaking; rotating waves; secondary bifurcation
UR - http://eudml.org/doc/82087
ER -

References

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  1. [1] V. G. BABSKII et I. L. SKLOVSKAIA, On Convection in a Self-Gravitating Fluid Sphere with Internal Heating (P.M.M., vol. 36, 1971, p. 6). MR48 #12985
  2. [2] P. CHOSSAT, Comptes rendus de l'École d'été de Jablonna, Pologne, 1980 (à paraître). 
  3. [3] P. CHOSSAT, Bifurcation and Stability of Convective Flows in a Rotating or not Rotating Spherical Shell (S.I.A.M. J. Appl. Math., vol. 37, n° 3, 1979, p. 624-647). Zbl0446.76047MR80k:76043
  4. [4] M. GOLUBITSKY et D. SCHAEFFER, Imperfect Bifurcation in the Presence of Symmetry (Comm. in Math. Phys., vol. 67, 1979, p. 205-232). Zbl0467.58019MR80j:58017
  5. [5] M. GOLUBITSKY et D. SCHAEFFER, Bifurcation with 0 (3) Symmetry Including Applications to the Benard problem (preprint). Zbl0492.58012
  6. [6] G. IOOSS, Cours de 3e cycle, Publications de la Faculté d'Orsay, 1974. 
  7. [7] G. IOOSS, Bifurcation of Maps and Application (North Holland, Math. Studies, vol. 36, Amsterdam - New York - Oxford, 1979). Zbl0408.58019MR81b:58014
  8. [8] J. P. KEENER, Secondary Bifurcation in Non-Linear Diffusion-Reaction Equations (Studies in Appl. Math., vol. 55, 1976, p. 187-211). Zbl0336.35057MR56 #2122
  9. [9] W. F. LANGFORD et G. IOOSS, Interactions of Hopf and Pitchfork Bifurcations, in Bifurcation Problems and Their Numerical Solution, H. D. MITTELMANN et H. WEBER, éd., Dortmund, 1980. Zbl0437.34036
  10. [10] L. MICHEL, Les brisures spontanées de symétrie en physique (J. de Physique, vol. 36, 1975, p. C7-41). 
  11. [11] W. MILLER, Symmetry Groups and their Applications, Acad. Press, NY-London, 1972. Zbl0306.22001MR49 #3052
  12. [12] M. RENARDY, Bifurcation from Rotating Waves (preprint). 
  13. [13] D. H. SATTINGER, Group Theoritic Methods in Bifurcation (Lecture Notes in Math., n° 762, 1979, Springer Berlin - Heidelberg - New York). Zbl0414.58013MR81e:58022

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