Performs a qualitative analysis of one- and two-dimensional autonomous ordinary differential equation systems, using phase plane methods. Programs are available to identify and classify equilibrium points, plot the direction field, and plot trajectories for multiple initial conditions. In the one-dimensional case, a program is also available to plot the phase portrait. Whilst in the two-dimensional case, programs are additionally available to plot nullclines and stable/unstable manifolds of saddle points. Many example systems are provided for the user. For further details can be found in Grayling (2014) <doi:10.32614/RJ-2014-023>.
Package details |
|
---|---|
Author | Michael J Grayling [aut, cre] (<https://orcid.org/0000-0002-0680-6668>), Gerhard Burger [ctb] (<https://orcid.org/0000-0003-1062-5576>), Tomas Capretto [ctb], Stephen P Ellner [ctb], John M Guckenheimer [ctb] |
Maintainer | Michael J Grayling <michael.grayling@newcastle.ac.uk> |
License | MIT + file LICENSE |
Version | 2.2.1 |
URL | https://github.com/mjg211/phaseR |
Package repository | View on CRAN |
Installation |
Install the latest version of this package by entering the following in R:
|
Any scripts or data that you put into this service are public.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.