Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences
We consider the dynamical system A, T , where A is a class of differentiable functions defined on some interval and T:A→A is the operator Tφ:foφ, where f is a differentiable m-modal map. Using an algorithm, we obtained some numerical and symbolic results related to the frequencies of occurrence of c...
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| Outros Autores: | , |
| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2012
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| Texto completo: | http://hdl.handle.net/10174/5345 |
| País: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/5345 |
| Resumo: | We consider the dynamical system A, T , where A is a class of differentiable functions defined on some interval and T:A→A is the operator Tφ:foφ, where f 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 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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