کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778873 | 1413742 | 2016 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Mandelpinski maze for rational maps of the form zn+λ/zd
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A Mandelpinski maze for rational maps of the form zn+λ/zd A Mandelpinski maze for rational maps of the form zn+λ/zd](/preview/png/5778873.png)
چکیده انگلیسی
In this paper we identify a new type of structure that lies in the parameter plane of the family of maps zn+λ/zd where nâ¥2 is even but dâ¥3 is odd. We call this structure a Mandelbrot-Sierpinski maze. Basically, the maze consists at the first level of an infinite string of alternating Mandelbrot sets and Sierpinski holes that lie along an arc in the parameter plane for this family. At the next level, there are infinitely many smaller Mandelbrot sets and Sierpinski holes that alternate on the arc between each Mandelbrot set and Sierpinski hole on the previous level, and then finitely many other Mandelbrot sets and Sierpinski holes that extend away from the given Mandelbrot set in a pair of different directions. And then this structure repeats inductively to produce the “Mandelpinski” maze.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 27, Issue 5, December 2016, Pages 1042-1058
Journal: Indagationes Mathematicae - Volume 27, Issue 5, December 2016, Pages 1042-1058
نویسندگان
Robert L. Devaney,