2001•Journal of Engineering GraphicsRequires access

Generalized M-J Fractal Maps of Complex Multi-Value Functions Dynamic System

Dingfang Li

Abstract

This paper aim at the problem that strict sense Mandelbrot set fractal pictures can not be gained and iterative elementary spot z0 conforming to Mandelbrot set definition can not be confirmed. By constructing random Mandelbrot sets-Julia sets fractal of multi-branch function sets of multi-value functions, a new studying dynamic system fractal way that their normal Mandelbrot set-Julia set can not be determined is started.

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Available abstract

Key concepts: Mandelbrot set, Julia set, Fractal, Newton fractal, Mathematics, Set (abstract data type), Complex quadratic polynomial, Function (biology)