Some open problems in dynamical systems.
Herman, Michael (1998)
Documenta Mathematica
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Herman, Michael (1998)
Documenta Mathematica
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Coke S. Reed (1973)
Colloquium Mathematicae
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Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
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It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
A. N. Sharkovskii (1989)
Banach Center Publications
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Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
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Vannella, Giuseppina
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Xiao-Wei Peng (1984)
Mathematische Zeitschrift
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Perera, Kanishka (1998)
Abstract and Applied Analysis
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Vladimir N. Grujić (2011)
The Teaching of Mathematics
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Andrzej Szulkin (1988)
Bulletin de la Société Mathématique de France
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Ethan M. Coven, Zbigniew H. Nitecki (2008)
Colloquium Mathematicae
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We trace the beginning of symbolic dynamics-the study of the shift dynamical system-as it arose from the use of coding to study recurrence and transitivity of geodesics. It is our assertion that neither Hadamard's 1898 paper, nor the Morse-Hedlund papers of 1938 and 1940, which are normally cited as the first instances of symbolic dynamics, truly present the abstract point of view associated with the subject today. Based in part on the evidence of a 1941 letter from Hedlund to Morse,...
Jürg Fröhlich, Thomas Spencer (1982)
Recherche Coopérative sur Programme n°25
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Roman Srzednicki (1999)
Banach Center Publications
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The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the...