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
Date:	March 1999
Volume:	9
Number:	2
Number of Pages:	15
Page Range:	pp. 197-211
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/14838

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