Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences
نویسندگان
چکیده
We consider the dynamical system A, T , whereA is a class of differentiable functions defined on some interval and T :A → A is the operator Tφ : f ◦φ, where f is a differentiablem-modal map. Using an algorithm, we obtained some numerical and symbolic results related to the frequencies of occurrence of critical values of the iterated functions when the kneading sequences of f are aperiodic. Moreover, we analyze the evolution as well as the distribution of the aperiodic critical values of the iterated functions.
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012