findFixedPoint

A list comprised of x coordinates, y coordinates, such as output by <code>pointsToList</code>. Should represent the attractors of <code>fun</code>.

points

An epsilon, expected to already be squared, used to determine when a point is closed enough to a fixed point.

A, usually smaller, value used to determine when a point has stopped moving without finding a nearby fixpoint.

tolerance

A dsmodel encapsulating the function to be applied.

model

The number of times to apply the function at each step.

stride

Finds which fixed-point a point will end up at under a certain function.

internal

An expressive language to facilitate simulation and visualization
of two-dimensional dynamical systems. The basic elements of the language are
a model wrapping around a function(x,y) which outputs a list(x
= xprime, y = yprime), and a range. The language supports three
types of visual objects: visualizations, features, and backgrounds. Visualizations, including dots and arrows,
depict the behavior of the dynamical system over the entire range.
Features display
user-defined curves and points, and their images under the system.
Backgrounds define and color regions of interest, such as basins of attraction.
The language
can also approximate attractors and their basins through simulation.

findFixedPoint: Finds which fixed-point a point will end up at under a certain function.

Description

Usage

Arguments