Takens' embedding theorem with a continuous observable

zbMath1366.37058arXiv1510.05843MaRDI QIDQ2973869

Yonatan Gutman

Publication date: 5 April 2017

Full work available at URL: https://arxiv.org/abs/1510.05843

zbMATH Keywords

box-counting dimensionLebesgue covering dimensioncontinuous observableTakens' embedding theoremtime-delay observation map

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

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Reconstructing a minimal topological dynamical system from a set of return times ⋮ A novel signal representation in SEI: manifold ⋮ The embedding problem in topological dynamics and Takens’ theorem ⋮ Delay embedding of periodic orbits using a fixed observation function ⋮ A probabilistic Takens theorem ⋮ Mean dimension and an embedding theorem for real flows ⋮ Jaworski-type embedding theorems of one-sided dynamical systems ⋮ Takens-type reconstruction theorems of one-sided dynamical systems ⋮ On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings

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