Infinite-Dimensional Linear Dynamical Systems with Chaoticity

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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 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.
LaTeX file. Journal of Nonlinear Science, to appear

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/15611

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9805022
 http://arxiv.org/abs/chao-dyn/9805022

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arXiv