Kolmogorov-Sinai entropy from recurrence times

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Baptista, MS (Author) Other; Ngamga, EJ (Author) Other; Paulo R F Pinto (Author) Other; Margarida Brito (Author) FCUP; Kurths, J (Author) Other

Journal

Title: Physics Letters A

Vol. 374 No. 48

Pages: 1135-1140

ISSN: 0375-9601

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 21 Citations

Scopus - 24 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-94T

DOI: 10.1016/j.physleta.2009.12.057

Abstract (EN): Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon's entropy per unit of time, from the recurrence times of chaotic systems. One formula provides the KS entropy and is more theoretically oriented since one has to measure also the low probable very long returns. The other provides a lower bound for the KS entropy and is more experimentally oriented since one has to measure only the high probable short returns. These formulas are a consequence of the fact that the series of returns do contain the same information of the trajectory that generated it. That suggests that recurrence times might be valuable when making models of complex systems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6