title: Testing whether two chaotic one dimensional processes are dynamically identical
abstract: Consider the situation where two individuals observe the same chaotic physical process but through time series of different measured variables (e.g., one individual measures a temperature and the other measures a voltage). If the two individuals now use their data to reconstruct (e.g., via delay coordinates) a map, the maps they obtain may appear quite different. In the case where the resulting maps appear one dimensional, we introduce a method to test consistency with the hypothesis that they represent the same physical process. We illustrate this method using experimental data from an electric circuit.
authors.affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.
authors.initials: GC
authors.lastname: Yuan
authors.initials: JA
authors.lastname: Yorke
authors.initials: TL
authors.lastname: Carroll
authors.initials: E
authors.lastname: Ott
authors.initials: LM
authors.lastname: Pecora