NDLI: Research on high-periodic attracting points in Mandelbrot set

Content Provider	IEEE Xplore Digital Library
Author	Sui Tao Tian Ming-hao Zhang Ze-yang
Copyright Year	2011
Description	Author affiliation: School of Information Science and Engineering, Shenyang Li-gong University, Liaoning, China (Sui Tao; Tian Ming-hao; Zhang Ze-yang)
Abstract	The ordering of high-periodic attracting points and their periodic buds in Mandelbrot set have been analyzed. Using the method of computer mathematic experiments, the five-periodic attracting points are solved and the topology distribution images of five-periodic attracting points and six-period attracting points are gained. Furthermore, the reasons of the bottleneck solved high-periodic attracting points in Mandelbrot set are analyzed. In this paper, we study the distributing discipline of high-periodic attracting points and their characteristic, and we have focused on the ordering of attracting points and the periodic buds in the Mandelbrot set and created a recurrence formula between numbers of attracting points and numbers of periodic buds in Mandelbrot set. As a result, it provides a useful discussion on internal structure of Mandelbrot set.
Starting Page	2038
Ending Page	2041
File Size	733871
Page Count	4
File Format	PDF
ISBN	9781457715860
e-ISBN	9781457715877
DOI	10.1109/ICCSNT.2011.6182371
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-24
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Attracting points Topological relationship Chaos-fractal Periodic bud Topology Mandelbrot set
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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