Calculation of the Structure of a Shrub in the Mandelbrot Set
Joint Authors
Danca, M-F.
Martín, A.
Pastor, G.
Orue, A. B.
Romera, M.
Montoya, F.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-07
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We calculate the external arguments of the structure of any shrub in the Mandelbrot set.
Before calculating, we revise, expand, and clarify some tools useful for this paper: harmonics, pseudoharmonics, the concept of structure, the structure of a shrub, and the ancestral route.
Finally we present the main contribution of this paper, a three-step algorithm which allows us to calculate the structure of the shrub.
In the first step, we use pseudoharmonics that were previously introduced by us, in order to calculate the first and last external arguments of a structural node.
In the second step, starting from two general properties of the Misiurewicz points external arguments introduced here by us, we present a new method to calculate the intermediate external arguments.
In the last step we introduce a third property that allows us to calculate the external arguments of the representatives of the branches emerging from the structural nodes.
American Psychological Association (APA)
Pastor, G.& Romera, M.& Orue, A. B.& Martín, A.& Danca, M-F.& Montoya, F.. 2011. Calculation of the Structure of a Shrub in the Mandelbrot Set. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-502091
Modern Language Association (MLA)
Pastor, G.…[et al.]. Calculation of the Structure of a Shrub in the Mandelbrot Set. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-502091
American Medical Association (AMA)
Pastor, G.& Romera, M.& Orue, A. B.& Martín, A.& Danca, M-F.& Montoya, F.. Calculation of the Structure of a Shrub in the Mandelbrot Set. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-502091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502091