JuliaIterate {Julia}

JuliaIterate

Description

'JuliaIterate' returns the number of iteration until a complex value diverges for the Julia map for a give complex number.

Usage

JuliaIterate(z, C)

Arguments

z

A complex coordinate (initial value for the map).

C

A complex constant.

Details

'JuliaIterate' returns the number of iteration until a complex value diverges for the Julia map for a give complex number.

Value

Number of iterations.

Note

Iterative function.

Author(s)

Mehmet Suzen <[e-mail]>

References

The Fractal Geometry of Nature, Benoit B. Mandelbrot, W.H.Freeman & Co Ltd (18 Nov 1982)

See Also

JuliaIterate and MandelIterate

Examples

  z<-0+0i
  C <- 1-1.6180339887;# Golden Ratio
  it<- JuliaIterate(z,C)