Topological Analysis of Recurrent Systems
نویسندگان
چکیده
We propose a new framework for the experimental study of periodic, quasiperiodic and recurrent dynamical systems. These behaviors express themselves as topological features which we detect using persistent cohomology. The resulting 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.
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