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 synchroni-
zation domains, in lattice profiles. This approach has potential for many more applications, e.g., in surface
roughness analyzes.
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