Julia sets and differential equations

Harold E. Benzinger
1993 Proceedings of the American Mathematical Society  
A one-parameter family of Julia sets is shown to converge, in a probabilistic sense, to certain trajectories of a differential equation. The Julia sets arise from Euler's method for the differential equation. This provides information on the location of the Julia sets and the dynamics on them. Euler's method.
doi:10.1090/s0002-9939-1993-1043403-3 fatcat:m3dpboisjvbmpktbxqtf5dylby