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Interactions entre bifurcation par brisure partielle de symétrie spherique. (French) Zbl 0503.58010

MSC:

58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces
37C80 Symmetries, equivariant dynamical systems (MSC2010)
37G99 Local and nonlocal bifurcation theory for dynamical systems
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References:

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[8] J. P. KEENER , Secondary Bifurcation in Non-Linear Diffusion-Reaction Equations (Studies in Appl. Math., vol. 55, 1976 , p. 187-211). MR 56 #2122 | Zbl 0336.35057 · Zbl 0336.35057
[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 . Zbl 0437.34036 · Zbl 0437.34036
[10] L. MICHEL , Les brisures spontanées de symétrie en physique (J. de Physique, vol. 36, 1975 , p. C7-41).
[11] W. MILLER , Symmetry Groups and their Applications , Acad. Press, NY-London, 1972 . MR 49 #3052 | Zbl 0306.22001 · Zbl 0306.22001
[12] M. RENARDY , Bifurcation from Rotating Waves (preprint). · Zbl 0498.35010
[13] D. H. SATTINGER , Group Theoritic Methods in Bifurcation (Lecture Notes in Math., n^\circ 762, 1979 , Springer Berlin - Heidelberg - New York). MR 81e:58022 | Zbl 0414.58013 · Zbl 0414.58013
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