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A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems
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Robinson, James C. (2008) A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems. Discrete and Continuous Dynamical Systems. Series B, Vol.9 (No.3-4). pp. 731-741. ISSN 1531-3492.
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Abstract
This paper gives a version of the Takens time delay embedding theorem that is valid for non-autonomous and stochastic infinite-dimensional dynamical systems that have a finite-dimensional attractor. A key ingredient is a result showing that a single linear map from the phase space into a sufficiently high dimensional Euclidean space is one-to-one between most realizations of the attractor and its image.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Dynamics, Cocycles, Embedding theorems | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems. Series B | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1531-3492 | ||||
Official Date: | May 2008 | ||||
Dates: |
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Volume: | Vol.9 | ||||
Number: | No.3-4 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 731-741 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Royal Society (Great Britain) |
Data sourced from Thomson Reuters' Web of Knowledge
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