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References
J. Franks, Differentiably Ω-stable diffeomorphisms, Topology 11 (1972) 107–113.
J. Guckenheimer, Absolutely Ω-stable diffeomorphisms, Topology 11 (1972) 195–197.
C. Gutierrez, Smooth nonorientable nontrivial recurrence on two-manifolds, J. Diff. Eqns. 29 (1978) 388–395.
P. Hartman, Ordinary Differential Equations. (N.Y.: Wiley, 1964); reissued by the author, Baltimore, 1973.
J. Kotus, M. Krych, and Z. Nitecki, Global Structural Stability of Flows on Open Surfaces. Memoris A.M.S., to appear.
M. Krych, Two remarks on structural stability of plane dynamical systems Astérisque 50 (1977) 197–204.
L. Markus, Structurally stable differential systems, Annals Math. 73 (1961) 1–19.
D. A. Neumann, Classification of continuous flows on 2-manifolds, Proc. A.M.S. 48 (1975) 73–81.
J. Palis, On Morse-Smale dynamical systems, Topology 4 (1969) 385–404.
_____ and S. Smale, Structural stability theorems, Proc. Symp. Pure Math. 14 (Providence: A.M.S., 1970) 223–231.
M. Peixoto, Structural stability on two-dimensional manifolds, Topology 1 (1962) 101–120, 2 (1963) 179–180.
_____, On an approximation theorem of Kupka and Smale, J. Diff. Eqns. 3 (1966) 214–227.
_____, and C. Pugh, Structurally stable systems on open manifolds are never dense, Annals Math. 87 (1968) 423–430.
C. Pugh, The closing lemma, Am. J. Math. 89 (1967) 956–1009.
_____ and C. Robinson, The closing lemma, including Hamiltonians. Preprint.
I. Richards, On the classification of noncompact surfaces, Trans. A.M.S. 106 (1963) 259–269.
A. Schwartz, A generalization of a Poincaré-Bendixson theorem to closed two-dimensional manifolds, Am. J. Math 85 (1963) 453–458.
F. Takens and W. White, Vectorfields with no nonwandering points, Am. J. Math. 98 (1976) 415–425.
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© 1983 Springer-Verlag
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Camacho, C., Krych, M., Mañe, R., Nitecki, Z. (1983). An extension of Peixoto's structural stability theorem to open surfaces with finite genus. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061410
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DOI: https://doi.org/10.1007/BFb0061410
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