Motion of an n-Point Dynamical System

An ordered -point system, with each point moving toward the next point in the sequence, will converge to the center of mass of the system. For added visual effect, trace the evolution of the polygon defined by these points.

SNAPSHOTS

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DETAILS

This dynamical system is governed by the system of differential equations:
,
where is the position of the point at time and is a speed term.
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