A Language to Facilitate the Creation and Visualization of Two-
Dimensional Dynamical Systems
c(
person("Charles", "Stein", email = "cstein1@trinity.edu", role = c("aut", "cre")),
person("Seth", "Fogarty", email = "sfogarty@trinity.edu", role = c("aut"))
)
An expressive language to facilitate the creation 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 areas of convergence and divergence.
The language
can also automatically guess attractors and regions of convergence and divergence.
'dsproto.R' 'axeslabel.R' 'dsarrows.R' 'dscurve.R' 'dsdots.R'
'dspoint.R' 'dsguessing.R' 'dsmodel.R' 'dsrange.R' 'dsregion.R'
'features.R' 'modelConstruction.R'
Charles Stein [aut, cre],
Seth Fogarty [aut]

A Language to Facilitate Simulation and Visualization of
Two-Dimensional Dynamical Systems
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.
'dsproto.R' 'axeslabel.R' 'dsarrows.R' 'dscurve.R' 'dsdots.R'
'dsmodel.R' 'dspoint.R' 'dsrange.R' 'dsregion.R'
'dssimulation.R' 'features.R' 'modelConstruction.R'
shape, graphics, grDevices, latex2exp, pryr