Neurologically motivated coupling functions in models of motor coordination
Slowinski, P; Al-Ramadhani, S; Tsaneva, K
Date: 14 January 2020
Journal
SIAM Journal on Applied Dynamical Systems
Publisher
Society for Industrial and Applied Mathematics
Publisher DOI
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 ...
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.
Mathematics and Statistics
Faculty of Environment, Science and Economy
Item views 0
Full item downloads 0