The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3

Milan Medveď

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 1, page 1-42
  • ISSN: 0011-4642

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Medveď, Milan. "The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3." Czechoslovak Mathematical Journal 35.1 (1985): 1-42. <http://eudml.org/doc/13490>.

@article{Medveď1985,
author = {Medveď, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {bifurcation; singularity; germ of vector fields; Taken's bifurcation},
language = {eng},
number = {1},
pages = {1-42},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3},
url = {http://eudml.org/doc/13490},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Medveď, Milan
TI - The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 1
SP - 1
EP - 42
LA - eng
KW - bifurcation; singularity; germ of vector fields; Taken's bifurcation
UR - http://eudml.org/doc/13490
ER -

References

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  7. R. I. Bogdanov, Versal deformations of a singular point of a vector field in the plane in the case of zero eigenvalues, (Russian), Proceedings of the I.G. Petrovski Seminar, 2, (1976), 37-65. (1976) MR0442996
  8. R. I. Bogdanov, Bifurcations of a limit cycle of a family of vector fields in the plane, (Russian), Proceedings of the I. G. Petrovski Seminar, 2, (1976), 23 - 35. (1976) MR0442988
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  12. M. Golubitsky V. Guillemin, Stable mappings and their singularities, Springer-Verlag, New York-Heidelberg-Berlin 1973. (1973) MR0341518
  13. J. Guckenheimer, On a codimension two bifurcation, Dynamical Systems and Turbulence, Proc. Symp., Warwick 1980, Springer Verlag, Berlin-Heidelberg-New York 1981, 99-142. (1980) MR0654886
  14. N. Kopell L. N. Howard, Bifurcations and trajectories joining critical points, Adv. Math. 18(1976), 306-358. (1976) MR0397078
  15. B. Malgrange, Ideals of differentiable functions, Oxford Univ. Press 1966. (1966) Zbl0177.17902MR0212575
  16. J. E. Marsden M. McCrecken, The Hopf bifurcation and its applications, Springer Verlag, New York-Heidelberg-Berlin 1976. (1976) MR0494309
  17. J. E. Marsden, 10.1090/S0002-9904-1978-14549-2, Bull. Amer. Math. Soc., Vol. 84, No. 6 (1978), 1125-1148. (1978) Zbl0404.35010MR0508450DOI10.1090/S0002-9904-1978-14549-2
  18. J. G. Sinaj L. P. Šilnikov, Strange attractors, Proceedings, (Russian) Mir, Moscow 1981. (1981) MR0624437
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