Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences
Joint Authors
Ramos, Carlos C.
Correia, Maria F.
Vinagre, Sandra
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-08
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We consider the dynamical system (?, T), where ? is a class of differentiable functions defined on some interval and T : ? → ? is the operator Tϕ:=f∘ϕ, 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.
American Psychological Association (APA)
Correia, Maria F.& Ramos, Carlos C.& Vinagre, Sandra. 2012. Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-498832
Modern Language Association (MLA)
Correia, Maria F.…[et al.]. Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-498832
American Medical Association (AMA)
Correia, Maria F.& Ramos, Carlos C.& Vinagre, Sandra. Iteration of Differentiable Functions under m-Modal Maps with Aperiodic Kneading Sequences. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-498832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498832