(Two Foxes Chasing a Rabbit)

April 4, 2009

This animation shows the motion of two foxes chasing a rabbit using the anti-Newtonian approximation (forces are equal in magnitude and direction). The foxes have twice the mass of the rabbit and 1/3 of the friction. The force law is 1/R in two spatial dimensions, and the foxes do not interact. The dynamics are chaotic with a largest Lyapunov exponent of 0.1346 and a strange attractor in the 12-dimensional phase space.