On maps with dense orbits and the definition of chaos (Q1193069)
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scientific article; zbMATH DE number 61938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On maps with dense orbits and the definition of chaos |
scientific article; zbMATH DE number 61938 |
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On maps with dense orbits and the definition of chaos (English)
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27 September 1992
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The article deals with a chaotic behaviour in dynamical systems. The object is to examine the relationship between the axioms for the most popular definitions of chaos in discrete systems. The focus is on a definitive analysis in the case of one-dimensional manifold. The dynamical systems are considered on the interval, on the Cantor set, on the circle. It must be noticed the paper ``On the definition of chaos'' [Z. Angew. Math. Mech. 69, 175-185 (1989; Zbl 0713.58035)] by \textit{U. Kirchgraber} and \textit{D. Stoffer}, where the same problem is discussed in some other sense.
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dense orbit
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periodic points
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topologically transitive
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chaotic behaviour
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dynamical systems
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discrete systems
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0.90906084
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0.89445686
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0.8927179
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0.88851184
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0.88490963
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0.88160735
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0.88060206
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