An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists
Wikipedia TDA particularly the subsection on "Intuition"
MEASURING SHAPE WITH TOPOLOGY quantify self similar behavior with TDA
A primer in persistent homology Uni Hamburg
Topological Time Series Analysis Jose A. Perea
(Quasi)Periodicity Quantification in Video Data, Using Topology by Jose A. Perea
Youtube lecture: Topological Methods for the Analysis of Data Jose A. Perea
Book: The Topology of Chaos: Alice in Stretch and Squeezeland, Prof. Robert Gilmore, Prof. Marc Lefranc The concept of bounding tori, which may be potentially interesting.
A class of chaotic bird calls?, N. H. Fletcher
Embeddings of low-dimensional strange attractors: Topological invariants and degrees of freedom