Recurrence Plots and Their Quantifications: Methodological Breakthroughs and Interdisciplinary Discoveries

Yoshito Hirata received a B.E. in mathematical engineering from the University of Tokyo and a Ph.D. in applied mathematics from the University of Western Australia. He is currently an Associate Professor at the Institute of Systems and Information Engineering, University of TsukubaMasanori Shiro received a Ph.D. in information science and technology from the University of Tokyo. He is currently a senior researcher at the National Institute of Advanced Industrial Science and Technology in Tsukuba.Miwa Fukino received a Ph.D degree in Mathematical Informatics from the University of Tokyo. She is a chief engineer at the Digital & AI Technology Center, Panasonic Holdings Corporation. She will be a professor at the Department of Data Science, Faculty of Science and Engineering, Teikyo University from April 2025.Charles L. Jr. Webber, received an A.B. degree in chemistry from Taylor University (1965–1969) with studies in mathematics from Illinois Institute of Technology (1970–1971). He earned a Ph.D. degree in medical physiology from Loyola University Chicago (1969–1973) followed by post-doctoral studies at the Max Planck Institute for Physiological and Clinical Research (1973–1975). He was invited to serve on the physiology faculty of Loyola for the remainder of his career, rising to the rank of full professor (1975-2013). Dr. Webber and Dr. Joseph Zbilut were the originators of Recurrence Quantification Analysis (1992–1994).Kazuyuki Aihara received a B.E. degree in electrical engineering and a Ph.D. degree in electronic engineering from the University of Tokyo (UTokyo), Japan, in 1977 and 1982, respectively. Currently, he is a University Professor and Professor Emeritus at UTokyo, and Executive Director of the International Research Center for Neurointelligence (IRCN) at UTokyo. He also serves as the project manager for a Moonshot project of JST and the Cabinet Office of Japan on the comprehensive mathematical understanding of the complex control system between organs and challenge for ultra-early precision medicine.Norbert Marwan received a diploma in theoretical physics from the Dresden University of Technology, Germany, in 2000, and a Ph.D. degree in theoretical physics from the University of Potsdam, Germany, in 2003. Currently, he serves as a deputy chair of the Complexity Science research department at the Potsdam Institute for Climate Impact Research (PIK), Potsdam and is a Professor at the Institute of Geosciences at the University of Potsdam. He is the main organiser of the biennial International Symposium on Recurrence Plots.

• A Bibliographic View on Recurrence Plots and Recurrence Quantification Analyses.- Mathematics of Recurrence Plots.- Number of Logical Operators Connecting Columns in a Recurrence Plot.- Advances on Recurrence Microstates Analyses.- Polar Recurrence Plots with Quantifications.- Recurrence-Based Characterization of Stickiness in Hamiltonian Systems.- Cross-Recurrence Plots and Straightforward Hilbert Representation of Isolation Kernel.- Spatial Reconstruction from Contact Networks: A Unified Approach for Dynamics and Genomics.- Mini-Channel Heat Transfer Stability Assessment Using the Microstates Entropy Recurrence Plot Diagonal Lines.- Investigation of Combustion Stability in an RCCI Engine Using Recurrence Analysis of Cylinder Pressure Data.- Unveiling Synchronized Rhythm: Quantitative Analysis of Lower Limb Coordination in Movements of Taekwondo Players.- Multi-Timescale Recurrent Structures in Rhyming Focused on the Vowels of Rap Lyrics.- Application of Recurrence Analysis to Patient–Therapist Coordination During Gait Rehabilitation.- Association Between Healthy Aging and the Dynamical Behavior of Heart Rate Variability Revealed by Recurrence Quantification Analysis.