Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623785 | Journal of Mathematical Analysis and Applications | 2006 | 13 Pages |
Abstract
Bergweiler proved that for any given integer k⩾2, every polynomial P of degree d⩾2 has at least one repelling periodic cycle of period k unless (k,d)∈{(2,2),(2,3),(2,4),(3,2)}. Here we classified these exceptional polynomials. We also showed that the Julia sets of these exceptional polynomials are connected.
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