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Increased variability in the acceleration of the head and in the transmission ratios suggest a potentially destabilizing effect of load carriage on the head trajectory.
We especially thank Hans van Hateren, University of Groningen, for kindly providing us with the large database containing the Calliphora head trajectory data we used for our application.
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In contrast, we aim to find 3D locations of multiple head trajectories, regardless of their standing or sitting status without the flat ground plane assumption.
When it falls inward toward the branch of fixed points, the trajectory resembles the bursting and torus canard with head trajectories seen at slightly larger k values.
Further decrease of k completes the torus canard explosion (including MMO and 'duck with head' trajectories, not shown) and leads to the fold/fold cycle bursting trajectory shown in Figure 13.
The prototypes resulting from analysing Calliphora head trajectories show, in accordance with previous results [2], [42], that cruising Calliphorae show a saccadic flight and gaze strategy which means performing purely translational movements disrupted by short and fast manoeuvres dominated by rotations.
In some cases, the resting steady state was so short that we could not fit it to any empirical functions for head trajectories.
Beyond this value of I, the canard orbits spend O ( 1 ) time in the neighborhood of all three branches of fixed points of the fast system, forming canard trajectories referred to as 'ducks with heads' (trajectory in Figure 1e).
The head pain trajectory was similar to that of EF, but its all other features obviously different from those of EF.
Neck flexibility, proprioception, head steadiness, trajectory movement control, and postural sway were assessed using a 3D motion tracking system (Liberty).
As a result, during eye-head coordination, the head movement trajectory exhibits a wide variability (see Leigh and Zee 2006 for review), suggesting that head command signals alone do not provide the accurate measure of head movement that is needed for maintaining target image on the high acuity fovea during eye-head tracking.
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