Iteration of Differentiable Functions underm-Modal Maps with Aperiodic Kneading Sequences | Zendy

Maria F. Correia | Zendy; C. Correia Ramos | Zendy; Sandra Vinagre | Zendy

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Iteration of Differentiable Functions underm-Modal Maps with Aperiodic Kneading Sequences

Author(s) -

Maria F. Correia,

C. Correia Ramos,

Sandra Vinagre

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/796180

Subject(s) - aperiodic graph , mathematics , differentiable function , iterated function , interval (graph theory) , operator (biology) , iterated function system , class (philosophy) , pure mathematics , modal , mathematical analysis , discrete mathematics , attractor , combinatorics , computer science , biochemistry , chemistry , artificial intelligence , transcription factor , polymer chemistry , gene , repressor

We consider the dynamical system (, ), where is a class of differentiable functions defined on some interval and : → is the operator ∶=∘, where is a differentiable m-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 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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