Testing whether two chaotic one dimensional processes are dynamically identical

Consider the situation where two individuals observe the same chaotic physi cal process bur 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 coo rdinates) a map, the maps they obtain may appear quite different. In the ca se where the resulting maps appear one dimensional, we introduce a method t o test consistency with the hypothesis that they represent the same physica l process. We illustrate this method using experimental data from an electr ic circuit.