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the method for generating chaos pattern

机译:产生混沌模式的方法

摘要

The present invention satisfies z = z * z + c (z = x + iy, c = a + ib) and is a set of Mandelbrot, which is a collection of complex-plane points (where point C does not radiate infinitely on this complex plane) In the chaos pattern generation method for generating a chaos pattern consisting of a set of Julias, which is a collection of points generated in the Mandelbrot equation for a fixed C value and a fixed C value, the z = z * z + c (z = x At + iy, c = a + ib), the ignition equation is repeatedly calculated by setting the initial value of z to z = 0 + 0i; Depending on the value of c, z converges to a single value, cyclically hovering between multiple values, and diverging to a very large value; When the ignition equation is repeated with the initial value of x at x = ax (1-x) at x = ax (1-x), x converges according to the value of a, and moves cyclically between various values and is chaotic The value is repeated; Likewise in the Mandelbrot set, the ignition equation is calculated over and over again with z = 0 + 0i, z converges to a single value according to the c value, circulates between multiple values, and diverges to a large value. When the initial value is z = 0 + 0i, it is characterized by being a group of complex numbers c that do not emit z = z * z + c.
机译:本发明满足z = z * z + c(z = x + iy,c = a + ib)并且是Mandelbrot的集合,Mandelbrot是复杂平面点的集合(其中点C在该点上不无限辐射)。复平面)在用于生成由一组Julias组成的混沌模式的混沌模式生成方法中,Julias是在Mandelbrot方程中针对固定C值和固定C值生成的点的集合,z = z * z + c(z = x At + iy,c = a + ib),通过将z的初始值设置为z = 0 + 0i来重复计算点火方程;根据c的值,z收敛到单个值,在多个值之间循环地徘徊,并发散到非常大的值;当在x = ax(1-x)处x的初始值为x时重复点火方程式时,x根据a的值收敛,并在不同的值之间循环移动并变得混乱。重复值;同样,在曼德尔布罗特(Mandelbrot)集中,z = 0 + 0i一遍又一遍地计算点火方程,z根据c值收敛到单个值,在多个值之间循环,并发散成较大的值。当初始值为z = 0 + 0i时,其特征是不发出z = z * z + c的一组复数c。

著录项

  • 公开/公告号KR102091501B1

    专利类型

  • 公开/公告日2020-03-20

    原文格式PDF

  • 申请/专利权人 김성춘;정호선;

    申请/专利号KR20150102200

  • 发明设计人 김성춘;정호선;

    申请日2015-07-20

  • 分类号D06C23;D06Q1;

  • 国家 KR

  • 入库时间 2022-08-21 11:05:05

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