Author Index
(2015)
Archivum Mathematicum
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(2015)
Archivum Mathematicum
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(2016)
Archivum Mathematicum
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Wenguang Zhai (2006)
Acta Arithmetica
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Mitrea, Marius (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Marian Mrozek (1989)
Fundamenta Mathematicae
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Konstantin Mischaikow (1999)
Banach Center Publications
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A brief introduction to the Conley index theory is presented. The emphasis is the fundamental ideas of Conley's approach to dynamical systems and how it avoids some of the difficulties inherent in the study of nonlinear systems.
Konstantin Mischaikow, Marian Mrozek, Piotr Zgliczyński (1999)
Banach Center Publications
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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...
Marian Gidea (1999)
Banach Center Publications
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We define a new cohomological index of Conley type associated to any bi-infinite sequence of neighborhoods that satisfies a certain isolation condition. We use this index to study the chaotic dynamics on invariant sets which decompose as countable unions of pairwise disjoint (mod 0) compact pieces.
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
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