Title:
|
Hopf bifurcation in symmetric systems (English) |
Author:
|
Vanderbauwhede, A. |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
22 |
Issue:
|
1 |
Year:
|
1986 |
Pages:
|
29-53 |
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Category:
|
math |
. |
MSC:
|
34C25 |
MSC:
|
37G99 |
idZBL:
|
Zbl 0628.58035 |
idMR:
|
MR868118 |
. |
Date available:
|
2008-06-06T06:15:41Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107244 |
. |
Reference:
|
[1] Th. Bröckner, L. Lander: Differentiable germs and catastrophes.LMS Lecture Notes Series 17, Cambridge University Pгess, Cambridge, 1975. |
Reference:
|
[2] M. Golubitsky, I. Stewart: Hopf bifurcation in the presence of symmetry.Arch. Rat. Mech. Anal. 87 (1985), 107-165. Zbl 0588.34030, MR 0765596 |
Reference:
|
[3] G. Iooss: Bifurcation and transition to turbulence in hydrodynamics.Lecture Notes in Math. 1057, Springer-Verlag, 1984, p. 152-201. Zbl 0537.58037 |
Reference:
|
[4] G. Schwarz: Smooth functions invariant under the action of a compact Lie group.Topology, 14 (1975), 63-68. Zbl 0297.57015, MR 0370643 |
Reference:
|
[5] E. Takigawa: Bifurcation of waves of reaction-diffusion equations on axisymmetric domains.PhD Thesis, Brown University, 1981. |
Reference:
|
[6] A. Vanderbauwhede: Local bifurcation and symmetry.Research Notes in Math., vol. 75, Pitman, London, 1982. Zbl 0539.58022 |
Reference:
|
[7] A. Vanderbauwhede: Bifurcation of periodic solutions in a rotationally symmetric oscillation system.J. Reine Augew. Math. 360 (1985), 1-18. Zbl 0555.34036, MR 0799655 |
Reference:
|
[8] S. A. Van Gils: Some studies in dynamical system theory.PhD Thesis, Delft, 1984. |
Reference:
|
[9] H. Whitney: Differentiable even functions.Duke Math. J. 10 (1943), 159-160. Zbl 0063.08235, MR 0007783 |
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