I am considering a problem that is asking me to explore a deceptively simple dynamical system and discover some of surprising properties. I want to consider the motion of four particles A,B,C and D in the plane. The particles start at four random points in the plane. Each particle moves with unit speed. A moves towards B, B towards C, C towards D and D towards A. What happens (qualitatively), and how (quantitatively, in terms of, say, angles and log distances)? I was wondering if somebody could give me some direction in terms of the the simplest case, when the starting positions form a square.
2026-05-05 18:45:02.1778006702
Dynamical system in a square
45 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in DYNAMICAL-SYSTEMS
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