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Spatial recurrence plots

  • We propose an extension of the recurrence plot concept to perform quantitative analyzes of roughness and disorder of spatial patterns at a fixed time. We introduce spatial recurrence plots (SRPs) as a graphical representation of the pointwise correlation matrix, in terms of a two-dimensional spatial return plot. This technique is applied to the study of complex patterns generated by coupled map lattices, which are characterized by measures of complexity based on SRPs. We show that the complexity measures we propose for SRPs provide a systematic way of investigating the distribution of spatially coherent structures, such as synchronization domains, in lattice profiles. This approach has potential for many more applications, e.g., in surface roughness analyzes

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Author:D. B. Vasconcelos, S. R. Lopes, R. L. Viana, Jürgen KurthsORCiDGND
URL:http://pre.aps.org/pdf/PRE/v73/i5/e056207
DOI:https://doi.org/10.1103/Physreve.73.056207
Document Type:Article
Language:English
Year of first Publication:2006
Year of Completion:2006
Release Date:2017/03/24
Source:Physical review / e. - 73 (2006), 5, Art. No. 056207 Part 2
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik