Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblMedveď, Milan. Normal forms and bifurcations of some equivariant vector fields. Mathematica slovaca, Tome 40 (1990) no. 2, pp. 209-223. http://geodesic.mathdoc.fr/item/MASLO_1990_40_2_a9/
@article{MASLO_1990_40_2_a9,
author = {Medve\v{d}, Milan},
title = {Normal forms and bifurcations of some equivariant vector fields},
journal = {Mathematica slovaca},
pages = {209--223},
year = {1990},
volume = {40},
number = {2},
mrnumber = {1094774},
zbl = {0735.58024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1990_40_2_a9/}
}
[1] BRÖCKER, Tһ., LANDER L.: Diffеrеntiablе Gеrms and Catastrophеs. Cambridgе Univеrsity Prеss 1975.
[2] BUZANO E., GEYMONAT G., POSTON T.: Post buckling bеhaviour of a non-linеarly hypеrеlastic thin rod with crossеction invariant undеr thе dihеdral group Dn. Arch. Rational Mеch. Anal. 89, 1985, 307-388. | MR
[3] CARR J.: Applications of Cеntеr Manifold Thеory. Appl. Math. Sci. 35, Springеr-Vеrlag 1981. | MR
[4] CUSHMAN R., SANDERS J. A.: Nilpotеnt normal forms and rеprеsеntation thеory of sl(2. R)+. Multiparamеtеr bifurcation thеory, procееdings, еd. M. Golubitsky and J. Guckеnhеimеr, AMS sеriеs: Contеmporary Math., Vol. 56, 1986, 31-51. | MR
[5] DANGELMAYR G., GUCKENHEIMER J.: On a four paramеatеr family of planar vеctor fiеlds. Archivе for Rational Mеch. Anal. Vol. 97, 1987, p. 321. | MR
[6] ELPHICK C., TIRAPEGNI E., BRACHET M., COULLET P., IOOSS G.: A simplе global characterization of normal forms of singular vector fields. Preprint No. 109, University of Nice 1986; in Physica 29D, 1987, 95-127. | MR
[7] FIEDLER B.: Global Bifurcation of Periodic Solutions with Symmetry. Lecture notes in Math. 1309, Springer-Verlag, Heidelberg 1988. | MR | Zbl
[8] GOLUBITSKY M., ROBERTS M.: A classification of degenerate Hopf bifurcations with 0(2) symmetry. J. Diff.Eq. 69 1987, 216-264. | MR
[9] GOLUBITSKY M., SCHAEFFER D. G.: Singularities and Groups in Bifurcation Theory. Vol. I, Applied Math. Sciences 51, Springer-Verlag, New York, 1985. | MR | Zbl
[10] GOLUBITSKY M., STEWART I.: Hopf bifurcation in the presence of symmetry. Archive for Rational Mech. and Analysis, Vol. 87, No. 2, 1985, 107-165. | MR | Zbl
[11] GUCKENHEIMER J.: A codimension two bifurcation with circular symmetry. Multiparameter bifurcation theory, AMS series: Contemporary Math., Vol. 56, 1986, 175-184. | MR | Zbl
[12] GUCKENHEIMER J., HOLMES P.: Nonlinear Oscillations. Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York 1983. | MR | Zbl
[13] KLÍČ A.: Period doubling bifurcations in a two-box model of the Brusselator. Aplikace matematiky, Vol. 28, No. 5, 1983, 335-343. | MR | Zbl
[14] KLÍČ A.: Bifurcations of the periodic solutions in symmetric systems. Aplikace matematiky, Vol. 31,No. 1, 1986, 27-40. | MR | Zbl
[15] MEDVEĎ M.: The unfoldings of a germ of vector fìelds in the plane with a singularity of codimension 3. Czech. Math. J., Vol. 35, No. 1, 1985, 1-42. | MR | Zbl
[16] SATTINGER D. H.: Group Theoretical Methods in Bifurcation Theory. Lecture Notes in Math. 762, Springer-Verlag, Berlin 1979.
[17] TAKENS F.: Forced oscillations and bifurcation. Comm. Math. Inst. Rijksuniversitait Ultrecht 3, 1974, 1-59. | MR
[18] VANDERBAUWHEDE A.: Center manifolds, normal forms and elementary bifurcations. to appear in Dynamics Reported. | MR
[19] VANDERBAUWHEDE A.: local Bifurcation and Symmetry. Pitman, Boston 1982. | MR | Zbl
[20] VANDERBAUWHEDE A.: Hopf bifurcation at non-semisimple eigenvalues. Multiparameter bifurcation theory, AMS series: Contemporary Math., Vol. 56, 1986, 343-353. | MR | Zbl
[21] VANDERBAUWHEDE A.: Secondary bifurcations of periodic solutions in autonomous systems. Canadian mathemataical Society, Conference Proceedings, Vol. 3, 1987, 693-701. | MR | Zbl