Vector fields in the vicinity of a circle of critical points
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- by J.-F. Mattei and M. A. Teixeira
- Trans. Amer. Math. Soc. 297 (1986), 369-381
- DOI: https://doi.org/10.1090/S0002-9947-1986-0849485-4
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Abstract:
In this paper the ${C^S}$-conjugacy between vector fields on ${{\mathbf {R}}^2}$ having a circle of critical points is studied.References
- Freddy Dumortier, Singularities of vector fields on the plane, J. Differential Equations 23 (1977), no. 1, 53–106. MR 650816, DOI 10.1016/0022-0396(77)90136-X
- F. Dumortier and R. Roussarie, Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilité finie, Ann. Inst. Fourier (Grenoble) 33 (1983), no. 1, 195–267 (French). MR 698855
- Jack K. Hale, Ordinary differential equations, Pure and Applied Mathematics, Vol. XXI, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1969. MR 0419901
- Floris Takens, Forced oscillations and bifurcations, Applications of global analysis, I (Sympos., Utrecht State Univ., Utrecht, 1973) Comm. Math. Inst. Rijksuniv. Utrecht, No. 3-1974, Math. Inst., Rijksuniv. Utrecht, Utrecht, 1974, pp. 1–59. MR 0478235
- Floris Takens, Normal forms for certain singularities of vectorfields, Ann. Inst. Fourier (Grenoble) 23 (1973), no. 2, 163–195 (English, with French summary). MR 365620 M. A. Teixeira, A topological invariant for discontinuous vector fields, Nonlinear Analysis: Theory, Methods and Applications (to appear). S. P. Tokarev, Smooth equivalence of differential-equation systems in the plane in the case of a noncoarse focus, Differentisial’nye Uravnenija 13 (1977), 613-617.
Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 297 (1986), 369-381
- MSC: Primary 58F14; Secondary 34C35
- DOI: https://doi.org/10.1090/S0002-9947-1986-0849485-4
- MathSciNet review: 849485