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Hartman’s theorem for complex flows in the Poincaré domain. (English) Zbl 0239.58007


MSC:

37C75 Stability theory for smooth dynamical systems
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References:

[1] V.I. Arnold [1] Remarks on Singularities of Finite Codimension in Complex Dynamical Systems , Functional Analysis and its Applications, v. 3 (1969) 1-5. · Zbl 0249.34035 · doi:10.1007/BF01078269
[2] J. Palis And S. Smale [2] Structural Stability Theorems , AMS Proceedings of Symposia in Pure Mathematics, v. XIV (1970) 223-232. · Zbl 0214.50702
[3] H. Poincaré [3 ] Oeuvres , v. I. · JFM 46.0034.12
[4] C. Pugh [4] On a Theorem of P. Hartman , Am. Journal of Math., v. XCI, (1969) 363-367. · Zbl 0197.20701 · doi:10.2307/2373513
[5] C.L. Siegel [5] Über die Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgenrichtslösung , Göttinger Nachrichten der Akademie der Wissenschaften, (1952) 21-30. · Zbl 0047.32901
[6] S. Smale [6] Differentiable Dynamical Systems , Bulletin of the Am. Math. Soc. 73 (1967) 747-817. · Zbl 0202.55202 · doi:10.1090/S0002-9904-1967-11798-1
[7] S. Sternberg [7] On the Structure of Local Homeomorphisms of Euclidean n-space II , Am. Journal Math., v. 80 (1958) 623-631. · Zbl 0083.31406 · doi:10.2307/2372774
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