The Construction for Generalized Mandelbrot Sets of the Frieze Group

Feng Ying Wang; Li Ming Du; Zi Yang Han

doi:10.4028/www.scientific.net/AMR.756-759.2562

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759The Construction for Generalized Mandelbrot Sets...

The Construction for Generalized Mandelbrot Sets of the Frieze Group

Abstract:

By an analysis of symmetric features of equivalent mappings of the frieze group, a definition of their generalized Mandelbrot sets is given and a novel method for constructing generalized Mandelbrot sets of equivalent mappings of frieze group is presented via utilizing the Ljapunov exponent as the judgment standard. Based on generating parameter space of dynamical system, lots of patterns of generalized Mandelbrot sets are produced.

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Periodical:

Advanced Materials Research (Volumes 756-759)

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2562-2566

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.2562

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Online since:

September 2013

Authors:

Feng Ying Wang, Li Ming Du, Zi Yang Han

Keywords:

Equivalent Mapping, Frieze Group, Mandelbrot Set

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