This movie describes the essential mechanics of empirical dynamic modeling, demonstrating the relationship between time series and dynamic attractors and illustrating how Takens’ theorem (1) can be used to reconstruct a shadow manifold. Modified from ref. 2.
Hao Ye, Richard J. Beamish, Sarah M. Glaser, Sue C. H. Grant, Chih-hao Hsieh, Laura J. Richards, Jon T. Schnute, and George Sugihara
PNAS. 2015. 112:E1569-E1576 DOI: 10.1073/pnas.1417063112