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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 939-946
- MSC: Primary 58F08; Secondary 30D05, 58F10, 65H05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1043403-3
- MathSciNet review: 1043403