Oscillating in Synchrony with a Metronome: Serial Dependence, Limit Cycle Dynamics, and Modeling

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Kjerstin Torre
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Ramesh Balasubramaniam
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Didier Delignières
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We analyzed serial dependencies in periods and asynchronies collected during oscillations performed in synchrony with a metronome. Results showed that asynchronies contain 1/f fluctuations, and the series of periods contain antipersistent dependence. The analysis of the phase portrait revealed a specific asymmetry induced by synchronization. We propose a hybrid limit cycle model including a cycle-dependent stiffness parameter provided with fractal properties, and a parametric driving function based on velocity. This model accounts for most experimentally evidenced statistical features, including serial dependence and limit cycle dynamics. We discuss the results and modeling choices within the framework of event-based and emergent timing.

Torre is with the Sensorimotor Neuroscience Laboratory, MacMaster University, Canada, and Motor Efficiency and Deficiency, University Montpellier I, France. Balasubramaniam is with the Sensorimotor Neuroscience Laboratory, MacMaster University, Canada. Delignières is with Motor Efficiency and Deficiency, University Montpellier I, France.

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