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Prediction of Dynamical Systems from Time-Delayed Measurements with Self-Intersections

Offered By: Simons Semester on Dynamics via YouTube

Tags

Time Series Analysis Courses Dynamical Systems Courses Chaos Theory Courses Nonlinear Dynamics Courses Probabilistic Models Courses Observables Courses

Course Description

Overview

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Explore a 44-minute lecture on predicting dynamical systems using time-delayed measurements with self-intersections. Delve into new versions of the Takens time-delay embedding theorem in both deterministic and probabilistic settings. Examine upper bounds on the decay rate of prediction errors, as conjectured by Schroer, Sauer, Ott, and Yorke. Learn about one-dimensional observable measurements along a system's orbit and their implications for dynamical system prediction. Gain insights from Adam Śpiewak of IM PAN as part of the Simons Semester on Dynamics series.

Syllabus

Adam Śpiewak (IM PAN)


Taught by

Simons Semester on Dynamics

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