# American Institute of Mathematical Sciences

May  2008, 9(3&4, May): 731-741. doi: 10.3934/dcdsb.2008.9.731

## A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems

 1 Mathematical Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Received  March 2007 Revised  August 2007 Published  February 2008

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.
Citation: J. C. Robinson. A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems. Discrete & Continuous Dynamical Systems - B, 2008, 9 (3&4, May) : 731-741. doi: 10.3934/dcdsb.2008.9.731
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