Multivariate recurrence plots

Romano, M. C.; Thiel, M.; Kurths, Jürgen; von Bloh, Werner

doi:10.1016/j.physleta.2004.07.066

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Multivariate recurrence plots

Authors

Romano, M. C.
External Organizations;

Thiel, M.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

/persons/resource/Werner.von.Bloh

von Bloh, Werner
Potsdam Institute for Climate Impact Research;

External Ressource

No external resources are shared

Fulltext (public)

There are no public fulltexts stored in PIKpublic

Supplementary Material (public)

There is no public supplementary material available

Citation

Romano, M. C., Thiel, M., Kurths, J., von Bloh, W. (2004): Multivariate recurrence plots. - Physics Letters A, 330, 3-4, 214-223.
https://doi.org/10.1016/j.physleta.2004.07.066

Cite as: https://publications.pik-potsdam.de/pubman/item/item_12387

Abstract

We propose a new approach to calculate recurrence plots of multivariate time series, based on joint recurrences in phase space. This new method allows to estimate dynamical invariants of the whole system, like the joint Rényi entropy of second order. We use this entropy measure to quantitatively study in detail the phase synchronization of two bidirectionally coupled chaotic systems and identify different types of transitions to chaotic phase synchronization in dependence on the coupling strength and the frequency mismatch. By means of this analysis we find several new phenomena, such a chaos–period–chaos transition to phase synchronization for rather large coupling strengths.