attractor_sprott_7e: Generate strange attractor.
In andrie/attractor: Create and Plot Strange Attractors

Description Usage Arguments Details Value References

View source: R/strange_attractor.R

Based on Equation 7E of Sprott.

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attractor_sprott_7e(a, n, x0 = 1, y0 = 1, dims = c(600, 600),
  progress = (n >= 1e+05), n_discretize = 1e+06, qs = 0.05,
  discretize = TRUE)

`a`	Numeric vector of length 14
`n`	Number of points to generate
`x0`	Initial value for x
`y0`	Initial value for y
`dims`	Dimensions of resulting matrix
`progress`	If TRUE, displays a progress bar
`n_discretize`	Number of values to generate before computing the range
`qs`	quantile cutoff
`discretize`	If `TRUE` discretizes to a matrix with dimensions `dims` else a data frame

x_{i+1} = a_{1} + a_{2} * x_{i} + a_{3} * y_{i} + a_{4} * |x_{i}|^{a5} + a6 * |y_{i}|^{a7}

y_{i+1} = a_{8} + a_{9} * x_{i} + a_{10} * y_{i} + a_{11} * |x_{i}|^{a12} + a13 * |y_{i}|^{a14}

if discretize == TRUE a matrix with dimensions dims, else a data frame with columns x and y, and n rows.

Julien C. Sprott, "Strange Attractors: Creating Patterns in Chaos", page 418, Equation 7e, http://sprott.physics.wisc.edu/fractals/booktext/sabook.pdf

andrie/attractor documentation built on May 13, 2019, 11:56 p.m.