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Infinite-dimensional linear dynamical systems with chaoticity
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UNSPECIFIED (1999) Infinite-dimensional linear dynamical systems with chaoticity. JOURNAL OF NONLINEAR SCIENCE, 9 (2). pp. 197-211. ISSN 0938-8974.
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Abstract
The authors present two results on infinite-dimensional linear dynamical systems with chaoticity. One is about the chaoticity of the backward shift map in the space of infinite sequences on a general Frechet space. The other is about the chaoticity of a translation map in the space of real continuous functions. The chaos is shown in the senses of both Li-Yorke and Wiggins. Treating dimensions as freedoms, the two results imply that in the case of an infinite number of freedoms, a system may exhibit complexity even when the action is linear. Finally, the authors discuss physical applications of infinite-dimensional linear chaotic dynamical systems.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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| Journal or Publication Title: | JOURNAL OF NONLINEAR SCIENCE | ||||
| Publisher: | SPRINGER VERLAG | ||||
| ISSN: | 0938-8974 | ||||
| Official Date: | March 1999 | ||||
| Dates: |
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| Volume: | 9 | ||||
| Number: | 2 | ||||
| Number of Pages: | 15 | ||||
| Page Range: | pp. 197-211 | ||||
| Publication Status: | Published |
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