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On the Quaternionic Julia Sets

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Chaotic Dynamics

Part of the book series: NATO ASI Series ((NSSB,volume 298))

Abstract

Mandelbrot in his book [5] already offers computer generated images of quaternionic Julia sets by A. Norton. This author contributed more images with explanations in [6, 7], and Holbrook did similarly in [4].

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References

  1. M. Barnsley, Fractals Everywhere. Academic Press 1988

    Google Scholar 

  2. P. Blanchard, Complex analytic dinamics on the Riemann sphere. Bull. Amer. Math. Soc. 11,1 (1984) 85–141

    Article  MathSciNet  MATH  Google Scholar 

  3. J.E. Fornaess and N. Sibony, Complex Hénon mappings in C 2 and Fatou Bieberbach domains. Prepublications Université de Paris-Sud, Mathématiques 31 (1990) 1–41

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  4. J.A.R. Holbrook, Quaternionic Fatou-Julia sets. Ann. sc. math. Québec 11,1 (1987) 79–94

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  5. B.B. Mandelbrot, The Fractal Geometry of Nature. Freeman and company, New York 1983

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  6. A. Norton, Generation and Display of Geometric Fractals in 3-D. Computer Graphics 16 (1982) 61–67

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  7. A. Norton, Julia sets in the Quaternions. Comput. and Graphics 13,2 (1989) 267–278

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© 1992 Springer Science+Business Media New York

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Petek, P. (1992). On the Quaternionic Julia Sets. In: Bountis, T. (eds) Chaotic Dynamics. NATO ASI Series, vol 298. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3464-8_6

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  • DOI: https://doi.org/10.1007/978-1-4615-3464-8_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6534-1

  • Online ISBN: 978-1-4615-3464-8

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