Embedding of sequences of time intervals
Max-Planck-Institut für Physik komplexer Systeme, Bayreuther Str. 40, 01187 Dresden, Germany
Accepted: 20 March 1997
Times series obtained from dynamical systems can be converted into sequences of time intervals between relevant events. We show that under quite general conditions time intervals are phase space observables and therefore embedding theorems for the reconstruction of a state space from scalar signals are valid. The practical applicability in data analysis is discussed with the help of numerical and experimental examples.
PACS: 05.45.+b – Theory and models of chaotic systems
© EDP Sciences, 1997