title: Characterization of stickiness by means of recurrence.
abstract: We propose recurrence plots (RPs) to characterize the stickiness of a typical area-preserving map with coexisting chaotic and regular orbits. The difference of the recurrence properties between quasiperiodic and chaotic orbits is revisited, which helps to understand the complex patterns of the corresponding RPs. Moreover, several measures from the recurrence quantification analysis are used to quantify these patterns. Among these measures, the recurrence rate, quantifying the percentage of black points in the plot, is applied to characterize the stickiness of a typical chaotic orbit. The advantage of the recurrence based method in comparison to other standard techniques is that it is possible to distinguish between quasiperiodic and chaotic orbits that are temporarily trapped in a sticky domain, from very short trajectories.
authors.affiliation: Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.
authors.forename: Yong
authors.initials: Y
authors.lastname: Zou
authors.forename: Marco
authors.initials: M
authors.lastname: Thiel
authors.forename: M Carmen
authors.initials: MC
authors.lastname: Romano
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D013997:Time Factors