Classification of continuous flows on 2-manifolds
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- by Dean A. Neumann PDF
- Proc. Amer. Math. Soc. 48 (1975), 73-81 Request permission
Abstract:
We prove that a continuous flow with isolated critical points on an arbitrary $2$-manifold is determined up to topological equivalence by its separatrix configuration.References
- N. P. Bhatia and G. P. Szegö, Stability theory of dynamical systems, Die Grundlehren der mathematischen Wissenschaften, Band 161, Springer-Verlag, New York-Berlin, 1970. MR 0289890
- Otomar Hájek, Sections of dynamical systems in $\textrm {E}^{2}$, Czechoslovak Math. J. 15(90) (1965), 205–211 (English, with Russian summary). MR 176181
- L. Markus, Global structure of ordinary differential equations in the plane, Trans. Amer. Math. Soc. 76 (1954), 127–148. MR 60657, DOI 10.1090/S0002-9947-1954-0060657-0
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 73-81
- DOI: https://doi.org/10.1090/S0002-9939-1975-0356138-6
- MathSciNet review: 0356138