Analysing spatially extended high-dimensional dynamics by recurrence plots

Author(s)

Marwan, Norbert ^[1] ; Kurths, Juergen ^{[1, 2, 3]} ; Foerster, Saskia ^[4]

Affiliation

^[1] Potsdam Inst Climate Impact Res, D-14412 Potsdam - Germany

^[2] Humboldt Univ, Inst Phys, Berlin - Germany

^[3] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod - Russia

^[4] GFZ German Res Ctr Geosci, Sect Remote Sensing 14, D-14473 Potsdam - Germany

• Document type: Journal article
• Source: Physics Letters A; v. 379, n. 10-11, p. 894-900, MAY 8 2015.
• Web of Science Citations: 19

Abstract

Recurrence plot based measures of complexity are capable tools for characterizing complex dynamics. In this letter we show the potential of selected recurrence plot measures for the investigation of even high-dimensional dynamics. We apply this method on spatially extended chaos, such as derived from the Lorenz96 model and show that the recurrence plot based measures can qualitatively characterize typical dynamical properties such as chaotic or periodic dynamics. Moreover, we demonstrate its power by analysing satellite image time series of vegetation cover with contrasting dynamics as a spatially extended and potentially high-dimensional example from the real world. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
• Grantee: Elbert Einstein Nehrer Macau
• Support Opportunities: Research Projects - Thematic Grants