title: Devaney's chaos on recurrence plots.
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.
authors.affiliation: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan. yoshito@sat.t.u-tokyo.ac.jp
authors.forename: Yoshito
authors.initials: Y
authors.lastname: Hirata
authors.forename: Kazuyuki
authors.initials: K
authors.lastname: Aihara