dsmodels v1.1.0
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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.
Readme
dsmodels
Contact: cstein1@trinity.edu , sfogarty@trinity.edu
dsmodels is an expressive language for visualizing and analyzing two-dimensional dynamical systems. Scripts are built from a model encapsulating the dynamical system, to which other objects are composed. Components include: visualization of the entire range; user-defined curves and points; iterated images with color gradiants; and colored regions. The language can also approximate attractors and their basins through simulation.
library(dsmodels)
model <- dsmodel(function(x,y) {
list( x*exp(2.6-x-6.45/(1+4.5*x)),
y*exp(2.6-y-0.15*x-6.25/(1+4.5*y)) )
})
model + dsrange(0:3,0:3,discretize = 0.1, frame.plot = FALSE, axes = FALSE)
model + dsarrows(head.length=0.15)
model + simattractors() + simbasins(discretize = 0.01)
Installation
To install dsmodels, simply type into your R console the following line:
install.packages("dsmodels")
To install the latest version (1.1) from GitHub:
# install.packages("devtools")
devtools::install_github("Trinity-Automata-Research/dsmodels")
Documentation for dsmodels.
Functions in dsmodels
| Name | Description | |
| colorVector | Set Color Vector From Parameters | |
| +.dsproto | Adds a new component to a dsmodel. | |
| NaNRemove | NaNRemove | |
| background | Background | |
| boolpos | Find Positions of False Elements | |
| $.dsproto | Used to call members of a dsproto | |
| dsdots | Adds a visualization of the system using dots | |
| dsmodel | Defines a model object encapsulating a dynamical system | |
| dsarrows | Add a visualization of the system using arrows | |
| dscurve | Parametric curves or a graph of functions | |
| features | Features | |
| findFixedPoint | Finds which fixed-point a point will end up at under a certain function. | |
| is.dsimage | Reports whether x is a dsimage | |
| is.dspoint | Reports whether x is a dspoint | |
| dspoint | Individual points and their images | |
| dsproto | Create a new dsproto object | |
| is.dots | Reports whether x is a dsdots object. | |
| is.dsarrows | Reports whether x is a dsarrows object. | |
| dsrange | Range of inputs for a model | |
| dsregion | Colored polygonal region | |
| is.dsproto | Tests if an object is a ds object. | |
| is.dsregion | Reports whether x is a dsregion object. | |
| facade | Facade | |
| feature | Feature | |
| is.facade | Checks if object is a facade | |
| pointsToList | Converts a list of points to a list of x coordinates, y coordinates, region colors, and indexes. | |
| safe.apply | Abstract a Function which does not Crash Upon Failure | |
| simattractors | Determine the attractors of a model through simulation | |
| simbasins | Find basins of attraction by simulation | |
| ylabel | Create a label on the y-axis | |
| is.ylabel | Checks to see if object is ylabel. | |
| pnt | Alias to make constructing points for regions easier. | |
| findNearestPoint | Determines which point in a list is closest to the input. 0 is used if all are further from epsilon. | |
| is.background | Checks if object is a background | |
| is.curve | Reports whether x is a dscurves object. | |
| is.discretizedrange | Reports whether x is a discretized range. | |
| is.model | Checks if object is a mode. | |
| is.range | Reports whether x is a range. | |
| is.feature | Checks if object is a feature | |
| is.visualization | Checks if object is a visualization | |
| is.xlabel | Checks to see if object is xlabel. | |
| visualization | Visualization | |
| xlabel | Create a label on the x-axis | |
| No Results! | ||
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Details
| Type | Package |
| License | GPL-2 | file LICENSE |
| LazyData | TRUE |
| RoxygenNote | 6.0.1 |
| Collate | 'dsproto.R' 'axeslabel.R' 'dsarrows.R' 'dscurve.R' 'dsdots.R' 'dsmodel.R' 'dspoint.R' 'dsrange.R' 'dsregion.R' 'dssimulation.R' 'features.R' 'modelConstruction.R' |
| BugReports | https://github.com/Trinity-Automata-Research/dsmodels/issues |
| URL | https://github.com/Trinity-Automata-Research/dsmodels |
| NeedsCompilation | no |
| Packaged | 2017-07-22 03:22:25 UTC; cstein |
| Repository | CRAN |
| Date/Publication | 2017-07-22 06:37:56 UTC |
| imports | graphics , grDevices , latex2exp , pryr , shape |
| depends | R (>= 3.1.0) |
| Contributors | Seth Fogarty |
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