A counterexample to a Fedorenko statement.
Gedeon, T. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “Characterization of chaos for continuous maps of the circle”
A counterexample to a Fedorenko statement.
Periods of periodic points for transitive degree one maps of the circle with a fixed point.
Hidalgo, M.C. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Generic chaos
Ľubomír Snoha (1990)
Commentationes Mathematicae Universitatis Carolinae
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Equicontinuity of iterates of circle maps.
Valaristos, Antonios (1998)
International Journal of Mathematics and Mathematical Sciences
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Stable and non-stable non-chaotic maps of the interval
Tomáš Gedeon (1991)
Mathematica Slovaca
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Simple and complex dynamics for circle maps.
Lluís Alsedà, Vladimir Fedorenko (1993)
Publicacions Matemàtiques
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The continuous self maps of a closed interval of the real line with zero topological entropy can be characterized in terms of the dynamics of the map on its chain recurrent set. In this paper we extend this characterization to continuous self maps of the circle. We show that, for these maps, the chain recurrent set can exhibit a new dynamic behaviour which is specific of the circle maps of degree one.