Absil, P.-A, R Mahony, and R Sepulchre. 2008.
Optimization algorithms on matrix manifolds. Princeton, N.J.; Woodstock: Princeton University Press.
AcebrΓ³n, Juan A., L. L. Bonilla, Conrad J. PΓ©rez Vicente, FΓ©lix Ritort, and Renato Spigler. 2005.
βThe Kuramoto Model: A Simple Paradigm for Synchronization Phenomena.β Reviews of Modern Physics 77 (1): 137β85.
Basso, Julia C., Medha K. Satyal, and Rachel Rugh. 2021.
βDance on the Brain: Enhancing Intra- and Inter-Brain Synchrony.β Frontiers in Human Neuroscience 14: 586.
Boumal, Nicolas. 2013.
βOn Intrinsic CramΓ©r-Rao Bounds for Riemannian Submanifolds and Quotient Manifolds.β IEEE Transactions on Signal Processing 61 (7): 1809β21.
Boumal, Nicolas, Amit Singer, and P.-A Absil. 2013.
βRobust Estimation of Rotations from Relative Measurements by Maximum Likelihood.β In
52nd IEEE Conference on Decision and Control, 1156β61. Firenze: IEEE.
Boumal, Nicolas, Amit Singer, P.-A. Absil, and Vincent D. Blondel. 2014.
βCramΓ©r-Rao Bounds for Synchronization of Rotations.β Information and Inference 3 (1): 1β39.
Buhusi, Catalin V., and Warren H. Meck. 2005.
βWhat Makes Us Tick? Functional and Neural Mechanisms of Interval Timing.β Nature Reviews Neuroscience 6 (10): 755β65.
Canavier, Carmen, and Srisairam Achuthan. 2007.
βPulse Coupled Oscillators.β Scholarpedia 2 (4): 1331.
Cannon, Jonathan. 2021.
βExpectancy-Based Rhythmic Entrainment as Continuous Bayesian Inference.β PLOS Computational Biology 17 (6): e1009025.
Carter, G.Clifford. 1987.
βCoherence and Time Delay Estimation.β Proceedings of the IEEE 75 (2): 236β55.
Clayton, Martin. 1997. βMetre and Tal in North Indian Music.β
βββ. 2001. Time in Indian Music: Rhythm, Metre, and Form in North Indian Rag Performance. Oxford Monographs on Music. Oxford University Press, USA.
Collins, J. J., and I. N. Stewart. 1992.
βSymmetry-Breaking Bifurcation: A Possible Mechanism for 2:1 Frequency-Locking in Animal Locomotion.β Journal of Mathematical Biology 30 (8): 827β38.
Demaine, Erik D., Francisco Gomez-Martin, Henk Meijer, David Rappaport, Perouz Taslakian, Godfried T. Toussaint, Terry Winograd, and David R. Wood. 2005.
βThe Distance Geometry of Deep Rhythms and Scales.β In
CCCG, 163β66.
βββ. 2009.
βThe Distance Geometry of Music.β In
Computational Geometry, 42:429β54.
Doelling, Keith B., and David Poeppel. 2015.
βCortical Entrainment to Music and Its Modulation by Expertise.β Proceedings of the National Academy of Sciences 112 (45): E6233β42.
Ellis, D.P.W., C.V. Cotton, and M.I. Mandel. 2008.
βCross-Correlation of Beat-Synchronous Representations for Music Similarity.β In
IEEE International Conference on Acoustics, Speech and Signal Processing, 2008. ICASSP 2008, 57β60.
Elman, Jeffrey L. 1990.
βFinding Structure in Time.β Cognitive Science 14: 179β211.
Feldman, David P, and James P Crutchfield. 2004.
βSynchronizing to Periodicity: The Transient Information and Synchronization Time of Periodic Sequences.β Advances in Complex Systems 7 (03): 329β55.
Fischer, Ingo, RaΓΊl Vicente, Javier M BuldΓΊ, Michael Peil, Claudio R Mirasso, M C Torrent, and Jordi GarcΓa-Ojalvo. 2006. βZero-Lag Long-Range Synchronization via Dynamical Relaying.β
Fokker, A D. 1968. Unison Vectors and Periodicity Blocks in the Three-Dimensional (3-5-7) Harmonic Lattice of Notes. Koninkl. Nederl. Akademie van Wetenschappen.
Freidlin, Mark I., and Alexander D. Wentzell. 1993.
βDiffusion Processes on Graphs and the Averaging Principle.β The Annals of Probability 21 (4): 2215β45.
Freidlin, Mark, and Matthias Weber. 1998.
βRandom Perturbations of Nonlinear Oscillators.β The Annals of Probability 26 (3): 925β67.
Glass, Leon. 1991.
βCardiac Arrhythmias and Circle MapsβA Classical Problem.β Chaos: An Interdisciplinary Journal of Nonlinear Science 1 (1): 13β19.
βββ. 2001.
βSynchronization and Rhythmic Processes in Physiology.β Nature 410 (6825): 277β84.
Gozli, Davood. 2023.
βPrinciples of Categorization: A Synthesis.β Seeds of Science.
Haken, Hermann, J A Scott Kelso, and Bunz. 1985.
βA Theoretical Model of Phase Transitions in Human Hand Movements.β Biological Cybernetics 51 (5): 347β56.
Hennig, Holger, Ragnar Fleischmann, Anneke Fredebohm, York Hagmayer, Jan Nagler, Annette Witt, Fabian J Theis, and Theo Geisel. 2011.
βThe Nature and Perception of Fluctuations in Human Musical Rhythms.β PLoS ONE 6 (10): β26457.
Hennig, Holger, Ragnar Fleischmann, and Theo Geisel. 2012.
βMusical Rhythms: The Science of Being Slightly Off.β Physics Today 65 (7): 64β65.
Ichinomiya, Takashi. 2004.
βFrequency Synchronization in a Random Oscillator Network.β Physical Review E 70 (2): 026116.
Keith, W. L., and R. H. Rand. 1984.
β1βΆ1 and 2βΆ1 Phase Entrainment in a System of Two Coupled Limit Cycle Oscillators.β Journal of Mathematical Biology 20 (2): 133β52.
Kinreich, Sivan, Amir Djalovski, Lior Kraus, Yoram Louzoun, and Ruth Feldman. 2017.
βBrain-to-Brain Synchrony During Naturalistic Social Interactions.β Scientific Reports 7 (1): 17060.
Mateo, David, Nikolaj Horsevad, Vahid Hassani, Mohammadreza Chamanbaz, and Roland Bouffanais. 2019.
βOptimal Network Topology for Responsive Collective Behavior.β Science Advances 5 (4).
Mirollo, R., and S. Strogatz. 1990.
βSynchronization of Pulse-Coupled Biological Oscillators.β SIAM Journal on Applied Mathematics 50 (6): 1645β62.
Mirollo, R., and S. H. Strogatz. 2007.
βThe Spectrum of the Partially Locked State for the Kuramoto Model.β Journal of Nonlinear Science 17 (4): 309β47.
Moreno, Y., and A. F. Pacheco. 2004.
βSynchronization of Kuramoto Oscillators in Scale-Free Networks.β EPL (Europhysics Letters) 68 (4): 603.
Parncutt, Richard. 1994.
βA Perceptual Model of Pulse Salience and Metrical Accent in Musical Rhythms.β Music Perception: An Interdisciplinary Journal 11 (4): 409β64.
Pikovsky, Arkady, and Michael Rosenblum. 2007.
βSynchronization.β Scholarpedia 2 (12): 1459.
Pikovsky, Arkady, Michael Rosenblum, and JΓΌrgen Kurths. 2003. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press.
SchΓΆner, Gregor. 2002.
βTiming, Clocks, and Dynamical Systems.β Brain and Cognition 48 (1): 31β51.
Semjen, Andras, Dirk Vorberg, and Hans-Henning Schulze. 1998.
βGetting Synchronized with the Metronome: Comparisons Between Phase and Period Correction.β Psychological Research 61 (1): 44β55.
βββ. 2004. Sync: How Order Emerges From Chaos In the Universe, Nature, and Daily Life. Hyperion.
Toppi, Jlenia, Gianluca Borghini, Manuela Petti, Eric J. He, Vittorio De Giusti, Bin He, Laura Astolfi, and Fabio Babiloni. 2016.
βInvestigating Cooperative Behavior in Ecological Settings: An EEG Hyperscanning Study.β PLOS ONE 11 (4): e0154236.
Toussaint, Godfried T. 2004.
βA Comparison of Rhythmic Similarity Measures.β In
ISMIR.
βββ. 2013. The Geometry of Musical Rhythm: What Makes a βGoodβ Rhythm Good? 1 edition. Boca Raton, FL: Chapman and Hall/CRC.
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