Dynamical Systems Seminar

Krasimira Tsaneva-AtanasovaUniversity of Exeter
Numerical bifurcation analysis of coordinated movement dynamics

Friday, October 17, 2014 - 1:30pm
Malott 224

Many body movements are periodic in their nature. Synchronisation of these oscillatory motions is a fundamental aspect of coordination dynamics in human movements and is seen in many different situations. Coordination is characterised by a bounded temporal relationship created by a convergent dynamical process. In this talk we present numerical bifurcation analysis of a well established in the field mathematical model, namely the Haken-Kelso-Bunz (HKB) model. Our aim is to identify the type and stability of all possible coordination behaviours that this model supports. Therefore we perform numerical continuation analysis and study the attractors and bifurcations associated with them in both, the full system of two coupled highly nonlinear oscillators as well as in a reduced phase-amplitude description of the model. Our long-term goal is to use these results in the development of cognitive architecture that can generate human-like movement behaviour in different experimental conditions.