This function draws a circle map on a canvas. A circle map is a nonlinear dynamic system that can exhibit a phenomenon known as Arnold's tongue: a visualization of the frequency-locking behavior of a nonlinear oscillator with a periodic external force. The tongue is a region in the parameter space of the oscillator where the frequency of the oscillator matches the frequency of the external force. The tongue appears as a series of tongues of varying widths and shapes that can extend into regions of the parameter space where the frequency locking does not occur.

canvas_circlemap(
  colors,
  left = 0,
  right = 12.56,
  bottom = 0,
  top = 1,
  iterations = 10,
  resolution = 1500
)

Arguments

colors

a string or character vector specifying the color(s) used for the artwork.

left

a value specifying the minimum location on the x-axis.

right

a value specifying the maximum location on the x-axis.

bottom

a value specifying the minimum location on the y-axis.

top

a value specifying the maximum location on the y-axis.

iterations

a positive integer specifying the number of iterations of the algorithm.

resolution

resolution of the artwork in pixels per row/column. Increasing the resolution increases the quality of the artwork but also increases the computation time exponentially.

Value

A ggplot object containing the artwork.

See also

colorPalette

Author

Koen Derks, koen-derks@hotmail.com

Examples

# \donttest{
canvas_circlemap(colors = colorPalette("dark2"))

# }