Julia set

(redirected from Fatou set)
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Related to Fatou set: Julia Sets

Julia set

[′jül·yə ‚set]
(mathematics)
For a polynomial, p, with degree greater than 1, the Julia set of p is the boundary of the set of complex numbers, z, such that the sequence p (z), p 2(z), …, pn (z), … is bounded, where p 2(z) = p [p (z)], and so forth.
References in periodicals archive ?
Benedetto proved that the Fatou set of a rational map whose degree is greater than one is non-empty in [Ben01] thus the Julia set always has empty interior if the degree of the rational map is greater than one.