Julia sets and differential equations

Benzinger, Harold E.

doi:10.1090/S0002-9939-1993-1043403-3

Julia sets and differential equations
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by Harold E. Benzinger PDF

Proc. Amer. Math. Soc. 117 (1993), 939-946 Request permission

Abstract:

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.

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