کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637161 1340735 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Julia sets of the Schröder iteration functions of a class of one-parameter polynomials with high degree
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Julia sets of the Schröder iteration functions of a class of one-parameter polynomials with high degree
چکیده انگلیسی
In this paper the theory of Julia sets of Schröder iteration functions is introduced, the Julia sets of the Schröder functions of a one-parameter family polynomials with high degree are constructed through iteration method, and their structures are analyzed. Consequently, the following results are found in the study: (1) the Julia sets of the Schröder iteration functions of a one-parameter family polynomials with high degree contain the structure of classical Mandelbrot-like set; (2) the orbits of the critical points may escape from the zero points of the corresponding polynomial to converge to the k-cycle attractive basin or the extra fixed points; (3) if critical points on parameter plane are selected to construct Julia sets on dynamics plane, then attractive k-cycle basin will emerge, while it will not emerge if no critical points are selected; (4) the extra fixed points may be repulsive, litmusless or attractive, but the former takes the major role and (5) the Julia sets of the Schröder iteration functions have symmetry.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 178, Issue 2, 15 July 2006, Pages 461-473
نویسندگان
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