Historical Review of Recurrence Plots

TL;DR

This paper provides a comprehensive historical review of recurrence plots, highlighting their development, quantification methods, and applications across various scientific disciplines over the past two decades.

Contribution

It offers a detailed synthesis of the evolution and significance of recurrence plots, emphasizing their growing importance in analyzing dynamical systems.

Findings

Recurrence plots have become a powerful tool across multiple scientific fields.

Quantification methods for RPs have advanced significantly.

The review underscores the broad applicability and impact of RPs in dynamical systems analysis.

Abstract

In the last two decades recurrence plots (RPs) were introduced in many different scientific disciplines. It turned out how powerful this method is. After introducing approaches of quantification of RPs and by the study of relationships between RPs and fundamental properties of dynamical systems, this method attracted even more attention. After 20 years of RPs it is time to summarise this development in a historical context.