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The Fractal Diagram of the Dynamical System of the Biquadratic Polynomials
双二次多项式动力系统的分形图

Keywords: Biquadratic polynomial,Julia set,Mandelbrot set,Connectivity,Non-random complicated motions,Fractal geometry,Escape time arithmetic,Dynamics,Dynamical system,Fractal diagram
双二次多项式
,Julia集,Mandelbrot集,连通性,复杂的非随机运动,分形几何学,计算机图形学,逃逸时间算法,动力学,动力系统,分形图

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Abstract:

This paper is concerned with the fractal diagram of the Julia of the biquadratic polynomials, which is suggested to A. Douady in the last century. By means of the qualitative of those fractal diagram,we verify the property of the connectedness locus of the single parameter of the biquadratic polynomial and Julia set. We draw the Julia set of the biquadratic polynomial.

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