A historical review of recurrence plots

By Norbert Marwan. 2008

307 citations recorded by the source corpus.

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.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/beed04380b19b74dcca6e9a8d52b0660230a171d

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In Computer Networks and Communications

In Statistical and Nonlinear Physics

Citations in the corpus

Recurrence-based time series analysis by means of complex network methods (2010, methodology): “In addition, we would like to remark that even dynamical invariants, like the K 2 entropy and mutual information, or dimensions (information and correlation dimensions D 1 , D 2 ) can be eﬃciently estimated from RPs [Thiel et al. , 2004; Marwan et al. , 2007b].”
Complex network approach for recurrence analysis of time series (2009, methodology): “Following a heuristic approach, a quantitative description of RPs based on these line structures was introduced and is known as recurrence quantification analysis (RQA) [6].”
Complex network approaches to nonlinear time series analysis (2019, background): “In this context, we highlight the capability of these networks to unveil geometric characteristics associated with the structural organization of the underlying system in its phase space, which distinctively differs from other recurrence based techniques like recurrence quantification analysis (RQA)”
Complex dynamical systems in social and personality psychology: theory, modeling, and analysis (2014, unknown): “…of the patterns of revisitations in a system’s behavioral state space and can be quantified in various ways – a process known as recurrence quantification – in order to identify the structure of the dynamics that exist (see Marwan, 2008 and ; Weber & Zbliut, 2005 for more detailed reviews).”
Recurrence networks—a novel paradigm for nonlinear time series analysis (2009, background): “This conceptual framework is known as recurrence quantification analysis (RQA) [12–14] and is nowadays frequently applied to a variety of real-world applications of time series analysis in various fields of research [15].”