finsler geometry, hypercomplex numbers and physics
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About shape of Julia set at zero parameter on double numbers plane
2009jap | Pavlov D.G., Panchelyuga M.S., Panchelyuga V.A.  // HSGPH, Institute of Theoretical and Experimental Biophysics RAS, Pushchino, Russia, panvic333@yahoo.com

Analytic solution for Julia set on double numbers plane in the case of quadratic map $z_{n+1} \to z_{n}^{2} +c,$ at {\it } = 0 is presented. Paper illustrates main problems of numerical algorithm creation to calculate the Julia set having correct shape. Despite on simple mathematical character the consideration allows to illustrate main problems of double numbers fractals calculations, which don't exist for complex numbers fractals.


English: Russian:
11-11.pdf, 1744,942 Kb, PDF

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