References

Acebrón, Juan A, Luis L Bonilla, Conrad J Pérez Vicente, Félix Ritort, and Renato Spigler. 2005. “The Kuramoto Model: A Simple Paradigm for Synchronization Phenomena.” Reviews of Modern Physics 77 (1): 137.

Barreira, Luis. 2006. “Poincaré Recurrence: Old and New.” In XIVth International Congress on Mathematical Physics, 415–22. World Scientific.

Bevilacqua, Dana, Ido Davidesco, Lu Wan, Kim Chaloner, Jess Rowland, Mingzhou Ding, David Poeppel, and Suzanne Dikker. 2019. “Brain-to-Brain Synchrony and Learning Outcomes Vary by Student–Teacher Dynamics: Evidence from a Real-World Classroom Electroencephalography Study.” Journal of Cognitive Neuroscience 31 (3): 401–11.

Biccari, Umberto, and Enrique Zuazua. 2020. “A Stochastic Approach to the Synchronization of Coupled Oscillators.” Frontiers in Energy Research 8: 115.

Cao, Zhe, Tomas Simon, Shih-En Wei, and Yaser Sheikh. 2017. “Realtime Multi-Person 2D Pose Estimation Using Part Affinity Fields.” In CVPR.

Cao, Z., G. Hidalgo Martinez, T. Simon, S. Wei, and Y. A. Sheikh. 2019. “OpenPose: Realtime Multi-Person 2D Pose Estimation Using Part Affinity Fields.” IEEE Transactions on Pattern Analysis and Machine Intelligence.

Chopra, Nikhil, and Mark W Spong. 2009. “On Exponential Synchronization of Kuramoto Oscillators.” IEEE Transactions on Automatic Control 54 (2): 353–57.

Dikker, Suzanne, Lu Wan, Ido Davidesco, Lisa Kaggen, Matthias Oostrik, James McClintock, Jess Rowland, et al. 2017. “Brain-to-Brain Synchrony Tracks Real-World Dynamic Group Interactions in the Classroom.” Current Biology 27 (9): 1375–80.

Eckmann, Jean-Pierre, S Oliffson Kamphorst, David Ruelle, et al. 1995. “Recurrence Plots of Dynamical Systems.” World Scientific Series on Nonlinear Science Series A 16: 441–46.

Ermentrout, Bard. 1991. “An Adaptive Model for Synchrony in the Firefly Pteroptyx Malaccae.” Journal of Mathematical Biology 29 (6): 571–85.

Fritsch, Frederick N, and Ralph E Carlson. 1980. “Monotone Piecewise Cubic Interpolation.” SIAM Journal on Numerical Analysis 17 (2): 238–46.

Golland, Yulia, Yossi Arzouan, and Nava Levit-Binnun. 2015. “The Mere Co-Presence: Synchronization of Autonomic Signals and Emotional Responses Across Co-Present Individuals Not Engaged in Direct Interaction.” PloS One 10 (5): e0125804.

Gordon, Ilanit, Sebastian Wallot, and Yair Berson. 2021. “Group-Level Physiological Synchrony and Individual-Level Anxiety Predict Positive Affective Behaviors During a Group Decision-Making Task.” Psychophysiology 58 (9): e13857.

Guastello, Stephen J, David Pincus, and Patrick R Gunderson. 2006. “Electrodermal Arousal Between Participants in a Conversation: Nonlinear Dynamics and Linkage Effects.” Nonlinear Dynamics, Psychology, and Life Sciences.

Hasson, Uri, Asif A Ghazanfar, Bruno Galantucci, Simon Garrod, and Christian Keysers. 2012. “Brain-to-Brain Coupling: A Mechanism for Creating and Sharing a Social World.” Trends in Cognitive Sciences 16 (2): 114–21.

Hegger, Rainer, and Holger Kantz. 1999. “Improved False Nearest Neighbor Method to Detect Determinism in Time Series Data.” Physical Review E 60 (4): 4970.

Huffaker, Ray, Ray G Huffaker, Marco Bittelli, and Rodolfo Rosa. 2017. Nonlinear Time Series Analysis with r. Oxford University Press.

Kahaner, David, Cleve Moler, and Stephen Nash. 1989. Numerical Methods and Software. Prentice-Hall, Inc.

Kantz, Holger, and Thomas Schreiber. 2004. Nonlinear Time Series Analysis. Vol. 7. Cambridge university press.

Kaufman, Shachar, Saharon Rosset, Claudia Perlich, and Ori Stitelman. 2012. “Leakage in Data Mining: Formulation, Detection, and Avoidance.” ACM Transactions on Knowledge Discovery from Data (TKDD) 6 (4): 1–21.

Kennel, Matthew B, Reggie Brown, and Henry DI Abarbanel. 1992. “Determining Embedding Dimension for Phase-Space Reconstruction Using a Geometrical Construction.” Physical Review A 45 (6): 3403.

Konvalinka, Ivana, Dimitris Xygalatas, Joseph Bulbulia, Uffe Schjødt, Else-Marie Jegindø, Sebastian Wallot, Guy Van Orden, and Andreas Roepstorff. 2011. “Synchronized Arousal Between Performers and Related Spectators in a Fire-Walking Ritual.” Proceedings of the National Academy of Sciences 108 (20): 8514–19.

Koul, Atesh, Davide Ahmar, Gian Domenico Iannetti, and Giacomo Novembre. 2023. “Interpersonal Synchronization of Spontaneously Generated Body Movements.” Iscience 26 (3).

Kugiumtzis, D. 1999. “Test Your Surrogate Data Before You Test for Nonlinearity.” Physical Review E 60 (3): 2808.

Kuramoto, Yoshiki. 1975. “International Symposium on Mathematical Problems in Theoretical Physics.” Lecture Notes in Physics 30: 420.

Marwan, Norbert, M Carmen Romano, Marco Thiel, and Jürgen Kurths. 2007. “Recurrence Plots for the Analysis of Complex Systems.” Physics Reports 438 (5-6): 237–329.

Marwan, Norbert, Stefan Schinkel, and Jürgen Kurths. 2013. “Recurrence Plots 25 Years Later—Gaining Confidence in Dynamical Transitions.” Europhysics Letters 101 (2): 20007.

Marwan, Norbert, Niels Wessel, Udo Meyerfeldt, Alexander Schirdewan, and Jürgen Kurths. 2002. “Recurrence-Plot-Based Measures of Complexity and Their Application to Heart-Rate-Variability Data.” Physical Review E 66 (2): 026702.

Mitkidis, Panagiotis, John J McGraw, Andreas Roepstorff, and Sebastian Wallot. 2015. “Building Trust: Heart Rate Synchrony and Arousal During Joint Action Increased by Public Goods Game.” Physiology & Behavior 149: 101–6.

Pan, Yafeng, Suzanne Dikker, Pavel Goldstein, Yi Zhu, Cuirong Yang, and Yi Hu. 2020. “Instructor-Learner Brain Coupling Discriminates Between Instructional Approaches and Predicts Learning.” NeuroImage 211: 116657.

Poincaré, Henri. 1890. “Sur le problème des trois corps et les équations de la dynamique.” Acta Mathematica 13: 1–270.

Richardson, Daniel C, Rick Dale, and Natasha Z Kirkham. 2007. “The Art of Conversation Is Coordination.” Psychological Science 18 (5): 407–13.

Rössler, Otto E. 1976. “An Equation for Continuous Chaos.” Physics Letters A 57 (5): 397–98.

Schippers, Marleen B, Alard Roebroeck, Remco Renken, Luca Nanetti, and Christian Keysers. 2010. “Mapping the Information Flow from One Brain to Another During Gestural Communication.” Proceedings of the National Academy of Sciences 107 (20): 9388–93.

Schreiber, Thomas, and Andreas Schmitz. 1996. “Improved Surrogate Data for Nonlinearity Tests.” Physical Review Letters 77 (4): 635.

———. 1997. “Discrimination Power of Measures for Nonlinearity in a Time Series.” Physical Review E 55 (5): 5443.

Shockley, Kevin, Marie-Vee Santana, and Carol A Fowler. 2003. “Mutual Interpersonal Postural Constraints Are Involved in Cooperative Conversation.” Journal of Experimental Psychology: Human Perception and Performance 29 (2): 326.

Simon, Tomas, Hanbyul Joo, Iain Matthews, and Yaser Sheikh. 2017. “Hand Keypoint Detection in Single Images Using Multiview Bootstrapping.” In CVPR.

Spiegelhalder, Kai, Sabine Ohlendorf, Wolfram Regen, Bernd Feige, Ludger Tebartz van Elst, Cornelius Weiller, Jürgen Hennig, Mathias Berger, and Oliver Tüscher. 2014. “Interindividual Synchronization of Brain Activity During Live Verbal Communication.” Behavioural Brain Research 258: 75–79.

Strogatz, Steven H. 2000. “From Kuramoto to Crawford: Exploring the Onset of Synchronization in Populations of Coupled Oscillators.” Physica D: Nonlinear Phenomena 143 (1-4): 1–20.

———. 2018. Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering. CRC press.

Stuldreher, Ivo V, Jan BF van Erp, and Anne-Marie Brouwer. 2023. “Robustness of Physiological Synchrony in Wearable Electrodermal Activity and Heart Rate as a Measure of Attentional Engagement to Movie Clips.” Sensors 23 (6): 3006.

Takens, Floris. 1981. “Dynamical Systems and Turbulence.” Warwick, 1980, 366–81.

Thorson, Katherine R, Scott M McKernan, Tessa V West, Joshua D Woolley, Wendy Berry Mendes, and Christopher S Stauffer. 2021. “Oxytocin Increases Physiological Linkage During Group Therapy for Methamphetamine Use Disorder: A Randomized Clinical Trial.” Scientific Reports 11 (1): 21004.

Tomashin, Alon, Ilanit Gordon, and Sebastian Wallot. 2022. “Interpersonal Physiological Synchrony Predicts Group Cohesion.” Frontiers in Human Neuroscience 16: 903407.

Verstynen, Timothy, and Konrad Paul Kording. 2023. “Overfitting to ‘Predict’suicidal Ideation.” Nature Human Behaviour 7 (5): 680–81.

Wallot, Sebastian, and Dan Mønster. 2018. “Calculation of Average Mutual Information (AMI) and False-Nearest Neighbors (FNN) for the Estimation of Embedding Parameters of Multidimensional Time Series in Matlab.” Frontiers in Psychology 9: 1679.

Wallot, Sebastian, Andreas Roepstorff, and Dan Mønster. 2016. “Multidimensional Recurrence Quantification Analysis (MdRQA) for the Analysis of Multidimensional Time-Series: A Software Implementation in MATLAB and Its Application to Group-Level Data in Joint Action.” Frontiers in Psychology, 1835.

Webber Jr, Charles L, MA Schmidt, and John M Walsh. 1995. “Influence of Isometric Loading on Biceps EMG Dynamics as Assessed by Linear and Nonlinear Tools.” Journal of Applied Physiology 78 (3): 814–22.

Webber Jr, Charles L, and Joseph P Zbilut. 1994. “Dynamical Assessment of Physiological Systems and States Using Recurrence Plot Strategies.” Journal of Applied Physiology 76 (2): 965–73.

———. 2005. “Recurrence Quantification Analysis of Nonlinear Dynamical Systems.” Tutorials in Contemporary Nonlinear Methods for the Behavioral Sciences 94 (2005): 26–94.

Wei, Shih-En, Varun Ramakrishna, Takeo Kanade, and Yaser Sheikh. 2016. “Convolutional Pose Machines.” In CVPR.

Young, Hayley, and David Benton. 2015. “We Should Be Using Nonlinear Indices When Relating Heart-Rate Dynamics to Cognition and Mood.” Scientific Reports 5 (1): 16619.

Yun, Kyongsik, Katsumi Watanabe, and Shinsuke Shimojo. 2012. “Interpersonal Body and Neural Synchronization as a Marker of Implicit Social Interaction.” Scientific Reports 2 (1): 959.