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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
Journal or Publication Title: JOURNAL OF NONLINEAR SCIENCE
Publisher: SPRINGER VERLAG
ISSN: 0938-8974
Official Date: March 1999
Dates:
DateEvent
March 1999UNSPECIFIED
Volume: 9
Number: 2
Number of Pages: 15
Page Range: pp. 197-211
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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