Published in

American Institute of Physics, Chaos: An Interdisciplinary Journal of Nonlinear Science, 12(25), p. 123111, 2015

DOI: 10.1063/1.4937164

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Multiscale recurrence analysis of spatio-temporal data

Journal article published in 2015 by M. Riedl, N. Marwan ORCID, J. Kurths ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

The description and analysis of spatio-temporal dynamics is a crucial task in many scientific disciplines. In this work, we propose a method which uses the mapogram as a similarity measure between spatially distributed data instances at different time points. The resulting similarity values of the pairwise comparison are used to construct a recurrence plot in order to benefit from established tools of recurrence quantification analysis and recurrence network analysis. In contrast to other recurrence tools for this purpose, the mapogram approach allows the specific focus on different spatial scales that can be used in a multi-scale analysis of spatio-temporal dynamics. We illustrate this approach by application on mixed dynamics, such as traveling parallel wave fronts with additive noise, as well as more complicate examples, pseudo-random numbers and coupled map lattices with a semi-logistic mapping rule. Especially the complicate examples show the usefulness of the multi-scale consideration in order to take spatial pattern of different scales and with different rhythms into account. So, this mapogram approach promises new insights in problems of climatology, ecology, or medicine.