Neurodynamics

Kozma, Róbert; Wang, Jun; Zeng, Zhigang

doi:10.1007/978-3-662-43505-2_33

Cited by 5 publications

(1 citation statement)

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“…Modeling the rhythmical synchronization between two musicians means modeling their neuronal processes. In the past, synchronization and spatio-temporal bifurcation scenarios in neuronal networks have been successfully simulated and discussed using nonlinear recursive equations (see, e.g., (Kozma, Wang, & Zeng, 2015)). Thus, it is reasonable that the IPF can be applied, too.…”

Section: Deriving An Ipf Modelmentioning

confidence: 99%

Modeling synchronization in human musical rhythms using Impulse Pattern Formulation (IPF)

Linke¹,

Bader²,

Mores³

2021

Preprint

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When musicians perform in an ensemble, synchronizing to a mutual pace is the foundation of their musical interaction. Clock generators, e.g., metronomes, or drum machines, might assist such synchronization, but these means, in general, will also distort this natural, self-organized, inter-human synchronization process. In this work, the synchronization of musicians to an external rhythm is modeled using the Impulse Pattern Formulation (IPF), an analytical modeling approach for synergetic systems motivated by research on musical instruments. Nonlinear coupling of system components is described as the interaction of individually propagating and exponentially damped impulse trains. The derived model is systematically examined by analyzing its behavior when coupled to numerical designed and carefully controlled rhythmical beat sequences. The results are evaluated by comparison in the light of other publications on tapping. Finally, the IPF model can be applied to analyze the personal rhythmical signature of specific musicians or to replace drum machines and click tracks with more musical and creative solutions.

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Section: Deriving An Ipf Modelmentioning

confidence: 99%