Topological Analysis of Recurrent Systems
2012 (English)Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
2012. 1-5 p.
applied algebraic topology, persistent cohomology, circle-valued coordinates, recurrent systems, periodic systems
IdentifiersURN: urn:nbn:se:kth:diva-107210OAI: oai:DiVA.org:kth-107210DiVA: diva2:575329
NIPS 2012 Workshop on Algebraic Topology and Machine Learning, December 8th, Lake Tahoe, Nevada
FunderEU, FP7, Seventh Framework Programme, FP7-ICT-318493-STREP
QC 201212212012-12-212012-12-102015-01-20Bibliographically approved