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33

SIAMADS
2010

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Observing Infinite-dimensional Dynamical Systems

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Observing Infinite-dimensional Dynamical Systems

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We study the extent to which properties of infinite-dimensional dynamical systems can be accurately detected by examining observations of such systems. Let H be a separable Hilbert space. Let f : H H be a map and let A H be a compact set satisfying f(A) = A. We prove that for almost every (in the sense of prevalence) continuous observable : H RM , if f induces a map

Jessica Lin, William Ott

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Infinite-dimensional Dynamical Systems | Separable Hilbert Space | SIAMADS 2010 | Topologically Conjugate |

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Added	21 May 2011
Updated	21 May 2011
Type	Journal
Year	2010
Where	SIAMADS
Authors	Jessica Lin, William Ott

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