Phase animatiom

Phase is measured in parts of a cycle, from 0 to 1 (which is 0 again!). Since it is cyclic, we code it with the circle of colors

\(Show[
	\ \ \ \ \ 
      Graphics[
		\ \ \ \ \ \ \ \ \ 
        Table[
			\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {

            				\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
            Hue[phase/\((2  Pi)\), amplitude, 0.8], 

            				\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
            PointSize[0.03 + 0.03  amplitude], 

            				\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 
            Point[{amplitude*Cos[phase], amplitude*Sin[phase]}]

            		\ \ \ \ \ \ \ \ \ \ \ \ 		}, 

          			\ \ \ \ \ \ \ \ \ \ \ \ \ \ {phase, 2  Pi, 0, \(-2\) Pi/100}, 
          
			\ \ \ \ \ \ \ \ \ \ \ \ \ \ {amplitude, 1, 0, \(-1\)/30}

          			\ \ \ \ \ \ \ ]
	\ \ \ \ \ ], 
\ \ \ \ \ 	
      AspectRatio -> 1
]\)

1. Forward walking

When the momentary phase of a movement of a part of the body is represented by the corresponding  momentary color of that part, one can readily see that during locomotion the phase of lateral mvement travels across the ferret's body. In other words, ferret locomotion involves a traveling wave, and not, as previously assumed, based on some studies of quadrupede locomotion, a standing wave. This applies to both forward progression and turning.

\(PhiAnimate33[

      \ \ \ {ReadFile[jen3file], Get[jen3feetfile], Get[jen3phasefile]}, 

      \ \ {40, 80, 1}
]\)

To operate the animation double-click the figure, and then you can control it with the toolbar at the lower right corner.

2. Turning

\(PhiAnimate33[

      \ \ \ {ReadFile[jen3file], Get[jen3feetfile], Get[jen3phasefile]}, 

      \ \ {93, 126, 1}
]\)

Neri Kafkafi and Ilan Golani 

A traveling wave of lateral movement coordinates both turning and forward walking in the ferret 

Volume 78, Issue 6, pp 441-453 
Biological Cybernetics, July 20, 1998