Spatial Predator-Prey Chaos
(Two Foxes Chasing a Rabbit)

Vladimir Zhdankin and J. C. Sprott
Department of Physics, University of Wisconsin, Madison, WI 53706, USA
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.

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