کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776027 1631960 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Forts of quadratic polynomials under iteration
ترجمه فارسی عنوان
فرآورده های چند جملهای درجه دوم تحت تکرار
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
Since some dynamical behaviors of a one-dimensional mapping are influenced by the number of forts, attention is paid to the change of the number under iteration. For simple computation we work on quadratic polynomials. We use the theory of polynomial complete discrimination system to give a symbolic algorithm for the number of forts of iterated polynomials and apply the algorithm to quadratic functions, which proves an alternative result that the number either persists to be 1 or tends to infinity under iteration. We further compute the number for iterates of order 2,3,…,7 in the above infinity case and obtain critical values of the parameter at which the number changes. Those changes with finitely many data display a conjectured Fibonacci rule.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 331, 15 March 2018, Pages 1-10
نویسندگان
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