“…That is, an attractor can be reconstructed from discrete samples of a continuous process such that the reconstructed attractor is a smooth functional transformation of the attractor underlying the associated continuous process. This smooth transform preserves many qualities of the continuous attractor and it is generally accepted that many qualitative inferences obtained from a reconstructed attractor also hold true for its associated continuous time attractor, even in the presence of noise (Yap, Eftekhari, Wakin, & Rozell, 2014). In practice, D may be estimated by methods such as those proposed by Cao (1997) and Kennel, Brown,and Abarbanel (1992), and τ may be estimated through minimization of average mutual information or autocorrelation between X i and X i+τ or through the C-C method (Cao, 1997;Kennel, Brown, & Abarbanel, 1992;Kim, Eykholt, & Salas, 1999).…”