ArticleSIAM journal on applied dynamical systems2020
Neurologically Motivated Coupling Functions in Models of Motor Coordination.
Article in SIAM journal on applied dynamical systems, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- The potential of digital behavioural tests as a diagnostic aid for psychosis.PLOS digital health · 2023Article
- Two dimensionless parameters and a mechanical analogue for the HKB model of motor coordination.Biological cybernetics · 2021Article
- The Haken-Kelso-Bunz (HKB) model: from matter to movement to mind.Biological cybernetics · 2021Article
- Unifying Large- and Small-Scale Theories of Coordination.Entropy (Basel, Switzerland) · 2021Article
- Modeling Frequency Reduction in Human Groups Performing a Joint Oscillatory Task.Frontiers in psychology · 2021Article
- Coordination Dynamics: A Foundation for Understanding Social Behavior.Frontiers in human neuroscience · 2020Article
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3 authors.
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Abstract
We present an analysis of two Haken-Kelso-Bunz (HKB) oscillators coupled by a neurologically motivated function. We study the effect of time delay and weighted self-feedback and mutual feedback on the synchronization behavior of the model. We focus on identifying parameter regimes supporting experimentally observed decrease in oscillation amplitude and loss of anti-phase stability that has inspired the development of the HKB model. We show that a combination of cross-talk and nonlinearity in the coupling, along with physiologically relevant time delay, is able to quantitatively account for both drop in oscillation amplitude and loss of anti-phase stability in a frequency dependent manner. Furthermore, we demonstrate that the transition between discrete and rhythmic movements could be captured by this model. To this end, we carry out theoretical and numerical analysis of the emergence of in-phase and anti-phase oscillations.
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