The Poincaré-Bendixson theorem for the Klein bottle

Markley, Nelson G.

doi:10.1090/S0002-9947-1969-0234442-1

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48 .

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The Poincaré-Bendixson theorem for the Klein bottle
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by Nelson G. Markley PDF

Trans. Amer. Math. Soc. 135 (1969), 159-165 Request permission

References

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Elon L. Lima, Common singularities of commuting vector fields on $2$-manifolds, Comment. Math. Helv. 39 (1964), 97–110. MR 176459, DOI 10.1007/BF02566947

Les familles de courbes sur le tori

Hassler Whitney, Regular families of curves, Ann. of Math. (2) 34 (1933), no. 2, 244–270. MR 1503106, DOI 10.2307/1968202