Research on Chaotic Orbit in Mandelbrot Set

Tao Sui; Xiao Yu Zhang; Guang Shen Li; Guan Nan Liu

doi:10.4028/www.scientific.net/AMR.912-914.1349

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 912-914Research on Chaotic Orbit in Mandelbrot Set

Research on Chaotic Orbit in Mandelbrot Set

Abstract:

In this paper, the chaotic orbit in Mandelbrot set is introduced. On the basis of other scholars research, the character and distribution rules of pre-periodic orbits and pre-periodic points-Misiurewiz points about Mandelbrot set chaos-fractal images were studied. The software of constructing the general M-J set with Java Applet is improved. Using the method of computer mathematic experiments, the paper analyses the fixed orbit and period orbit in the M-set, gains the topology relationship of M set in super stable points, a recurrence formula between the period orbit and M-set periodic-buds is created.

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Periodical:

Advanced Materials Research (Volumes 912-914)

Pages:

1349-1352

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.912-914.1349

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Online since:

April 2014

Authors:

Tao Sui, Xiao Yu Zhang, Guang Shen Li, Guan Nan Liu

Keywords:

Fixed Orbit, Mandelbrot Set, Misiurewiz Points, Period Orbit

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References

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