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Accurate Computation of Periodic Regions' Centers in the General M-Set with Integer Index Number
Joint Authors
Xing-Yuan, Wang
Yuanyuan, Sun
Yijie, He
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper presents two methods for accurately computing the periodic regions' centers.
One method fits for the general M-sets with integer index number, the other fits for the general M-sets with negative integer index number.
Both methods improve the precision of computation by transforming the polynomial equations which determine the periodic regions' centers.
We primarily discuss the general M-sets with negative integer index, and analyze the relationship between the number of periodic regions' centers on the principal symmetric axis and in the principal symmetric interior.
We can get the centers' coordinates with at least 48 significant digits after the decimal point in both real and imaginary parts by applying the Newton's method to the transformed polynomial equation which determine the periodic regions' centers.
In this paper, we list some centers' coordinates of general M-sets' k-periodic regions (k=3,4,5,6) for the index numbers α=−25,−24,…,−1 , all of which have highly numerical accuracy.
American Psychological Association (APA)
Xing-Yuan, Wang& Yijie, He& Yuanyuan, Sun. 2010. Accurate Computation of Periodic Regions' Centers in the General M-Set with Integer Index Number. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-488568
Modern Language Association (MLA)
Xing-Yuan, Wang…[et al.]. Accurate Computation of Periodic Regions' Centers in the General M-Set with Integer Index Number. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-488568
American Medical Association (AMA)
Xing-Yuan, Wang& Yijie, He& Yuanyuan, Sun. Accurate Computation of Periodic Regions' Centers in the General M-Set with Integer Index Number. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-488568
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488568