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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Vector fields in the vicinity of a circle of critical points
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by J.-F. Mattei and M. A. Teixeira PDF
Trans. Amer. Math. Soc. 297 (1986), 369-381 Request permission

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.
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Additional 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