کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840313 908475 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The evolution and distribution of the periodic critical values of iterated differentiable functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The evolution and distribution of the periodic critical values of iterated differentiable functions
چکیده انگلیسی

We consider the dynamical system (A,T)(A,T), where AA is a class of differentiable functions defined on some interval and T:A→AT:A→A is the operator Tϕ≔f∘ϕTϕ≔f∘ϕ, where ff is a differentiable mm-modal map. For the particular case of ff being a topologically exact map we study the growth rate of critical points of the iterated functions. Considering functions in AA whose critical values are periodic points for ff, we analyze the evolution as well as the distribution of the periodic critical values of the iterated functions. For this, using only the kneading invariant of ff, we developed an algorithm for computing the itineraries of the critical values of these functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 17, November 2012, Pages 6343–6359
نویسندگان
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