Hartman's theorem for complex flows in the Poincaré domain

John Guckenheimer

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$C^{k}$ -conjugacy of holomorphic flows near a singularity

Marc Chaperon (1986)

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The topology of holomorphic flows with singularity

Cesar Camacho, Nicolaas H. Kuiper, Jacob Palis (1978)

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An exotic flow on a compact surface

N. Markley, M. Vanderschoot (2000)

Colloquium Mathematicae

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In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose $ο m e g a$ -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus $2$ with equally...