Infinite-Dimensional Linear Dynamical Systems with Chaoticity

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dc.creatorFu, Xin-Chu
dc.creatorDuan, Jinqiao
dc.date1998-05-25
dc.date.accessioned2026-07-07T02:35:26Z
dc.date.available2026-07-07T02:35:26Z
dc.descriptionThe 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 Fréchet 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.
dc.descriptionLaTeX file. Journal of Nonlinear Science, to appear
dc.identifierhttps://arxiv.org/abs/chao-dyn/9805022
dc.identifierhttp://arxiv.org/abs/chao-dyn/9805022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15611
dc.subjectChaotic Dynamics
dc.titleInfinite-Dimensional Linear Dynamical Systems with Chaoticity
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