M and J sets from Newton's transformation of the transcendental mapping F(z) = e(z(w)+c) with vcps

Computers and Graphics (Pergamon)

Volumn 26, Issue 2, 2002, Pages 371-383

  Chen, Ning ^a   Zhu, X L ^a   Chung, K W ^b  

^a Shandong Inst of Architectural and   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Chaos; Fractal; Julia set; Mandelbrot set; Newton's transformation

Indexed keywords

CHAOS THEORY; FRACTALS; MAPPING; SET THEORY;

TRANSCENDENTAL MAPPING;

COMPUTER GRAPHICS;

EID: 0036531136     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0097-8493(01)00185-6     Document Type: Article

References (14)

1. Chaos and fractals - The mathematics behind the computer graphics
2. w + c (w = α + iβ)
3. General Mandelbrot sets and Julia sets with color symmetry from equivariant mappings of the modular group
4. Chaos and Newton's method on systems
5. The method of secants
6. Computer art representing the behavior of the Newton-Raphson method
7. Newton's method for multiple roots
8. On the iteration of a rational function: Computer experiments with Newton's method