Continuous and discrete flows and the property of
Saroop Kaul (1987)
Fundamenta Mathematicae
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Saroop Kaul (1987)
Fundamenta Mathematicae
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Ping-Fun Lam (1976)
Fundamenta Mathematicae
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Anzelm Iwanik (1989)
Banach Center Publications
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Jozeph Auslander, Frank Hahn (1967)
Fundamenta Mathematicae
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C. Cuncle, W. Utz (1961)
Colloquium Mathematicae
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Gianpiero Cattaneo, Alberto Dennunzio, Fabio Farina (2006)
RAIRO - Theoretical Informatics and Applications
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The main goal of this paper is the investigation of a relevant property which appears in the various definition of deterministic topological chaos for discrete time dynamical system: transitivity. Starting from the standard Devaney's notion of topological chaos based on regularity, transitivity, and sensitivity to the initial conditions, the critique formulated by Knudsen is taken into account in order to exclude periodic chaos from this definition. Transitivity (or some stronger versions...
Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
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Ronald Knight (1980)
Fundamenta Mathematicae
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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 -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 with equally...