simulate_quadratic: Simulate discrete time quadratic maps

In picasa/generate: Might Generate Rtistry

Simulate discrete time quadratic maps

Description

Based on the original article by J.C. Sprott (Sprott, J. C. "Automatic Generation of Strange Attractors." Comput. & Graphics 17, 325-332, 1993c). The map used formalized as

• xn+1 = a0 + a1 xn + a2 xn2 + a3 xn yn + a4 yn + a5 yn2

• yn+1 = a6 + a7 xn + a8 xn2 + a9 xn yn + a10 yn + a11 yn2

Usage

simulate_quadratic(
  parameters,
  start_coords = c(x = 0, y = 0),
  iterations = 100
)

Arguments

parameters	a numeric vector of 12 values
start_coords	initial conditions (numeric vector)
iterations	number of iterations (integer)

Value

a dataframe with time, x, and y columns

picasa/generate documentation built on Feb. 28, 2025, 6:51 a.m.