Twisty Takens: a geometric characterization of good observations on dense trajectories

DOI10.1007/s41468-019-00036-9zbMath1435.37101arXiv1809.07131OpenAlexW2967976593MaRDI QIDQ2304006

Yanyan Li

Publication date: 6 March 2020

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07131

zbMATH Keywords

time seriestopological data analysisTakens' theorem

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Computational methods for invariant manifolds of dynamical systems (37M21) Topological data analysis (62R40)

Related Items (2)

Approximate and discrete Euclidean vector bundles ⋮ Sparse Circular Coordinates via Principal $$\mathbb {Z}$$-Bundles

Uses Software

• SW1PerS
• GitHub
• Ripser
• Ripser.py

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Persistent cohomology and circular coordinates
• Multiscale projective coordinates via persistent cohomology of sparse filtrations
• Delay-coordinate maps and the spectra of Koopman operators
• Sliding windows and persistence: an application of topological methods to signal analysis
• Topology and data
• Three-dimensional alpha shapes
• (Quasi)Periodicity Quantification in Video Data, Using Topology
• Nonlinear Time Series Analysis
• Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
• Topological Time Series Analysis
• Quasi-periodic intermittency in oscillating cylinder flow
• Decomposition of pointwise finite-dimensional persistence modules
• Sparse Circular Coordinates via Principal $$\mathbb {Z}$$-Bundles

This page was built for publication: Twisty Takens: a geometric characterization of good observations on dense trajectories