Devaney’s chaos on recurrence plots

Yoshito Hirata and Kazuyuki Aihara
Phys. Rev. E 82, 036209 – Published 23 September 2010; Erratum Phys. Rev. E 83, 059907 (2011)

Abstract

Although the definition of deterministic chaos in the sense of Devaney is often employed for investigating dynamical systems, it has been rarely used for identifying deterministic chaos from time series. In this paper, we develop a set of methods that infers whether a given time series is consistent with deterministic chaos in the sense of Devaney or not. We define weaker notions of the three properties of Devaney’s chaos which can be checked using a given time series of a finite length. We apply these methods for artificial and real data.

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  • Received 20 May 2010

DOI:https://doi.org/10.1103/PhysRevE.82.036209

©2010 American Physical Society

Erratum

Erratum: Devaney’s chaos on recurrence plots [Phys. Rev. E 82, 036209 (2010)]

Yoshito Hirata and Kazuyuki Aihara
Phys. Rev. E 83, 059907 (2011)

Authors & Affiliations

Yoshito Hirata* and Kazuyuki Aihara

  • Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan

  • *yoshito@sat.t.u-tokyo.ac.jp

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Issue

Vol. 82, Iss. 3 — September 2010

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