J FRACTAL IMAGES CONSTRUCTED FROM COMPLEX MAPPING z←z w+c(w=α+iβ)
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Abstract
The complex mapping z←z w+c,(w=α+iβ,α,β∈R 1 ) is used to construct many J fractal images. For w=α<0 , the Julia fractal images which are different from those in references concerned are generated. Based on a great number of experiments, an M J conjecture and a formula PNO for investigating corresponding relationship between the M set in the C plane and J set in the Z plane are presented to predict the image features of the J fractal image for a parameter c in the M set.
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