摘要
The limit behavior of Julia set J( f<sub>d, c</sub>) for polynomials f<sub>d, c</sub>（Z） = Z<sup>d</sup> + C is considered. That { J(f<sub>d,c</sub>) }<sub>d≥2</sub> converges to the unit circle S<sup>1</sup> in Hausdorff metric for some fixed parameter c is proved and some examples showing {J( f<sub>d, c</sub>)}<sub>d≥2</sub> has no limit are given.
The limit behavior of Julia setJ(f d,c) for polynomialsf d,c(z) =z d +c is considered. That |J(f d,c)| d≥ 2 converges to the unit circle S1 in Hausdorff metric for some fixed parameterc is proved and some examples showing | J(f d,c) |d>-2 has no limit are given.
