Topological Analysis of Recurrent Systems
Year: 2012
Type: conference-paper
Abstract: We propose a new framework for the experimental study of periodic, quasi- periodic and recurrent dynamical systems. These behaviors express themselves as topological features which we detect using persistent cohomology. The result- ing 1-cocycles yield circle-valued coordinates associated to the recurrent behavior. We demonstrate how to use these coordinates to perform fundamental tasks like period recovery and parameter choice for delay embeddings.
Institutions: Pomona College, University of St Andrews
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W178103694