2 papers
math.DS2023
The rocking can: a reduced equation of motion and a matched asymptotic solution
B. W. Collins, C. L. Hall, S. J. Hogan
The rocking can problem consists of a empty drinks can standing upright on a horizontal plane which, when tipped back to a single contact point and released, rocks down towards the…
math.DS2022
The effects of delay on the HKB model of human motor coordination
Lara I. Allen, Tamas G. Molnar, Zoltan Dombovari +1
In this paper, we analyse the celebrated Haken-Kelso-Bunz (HKB) model, describing the dynamics of bimanual coordination, in the presence of delay. We study the linear dynamics, sta…