pplane-package: Phase plane plots of 2D nonlinear systems.

In pplane: Phase plane plots of 2D nonlinear systems

Description

Plotting the the flow vector field of a 2D ODE system. With additions of trajectories and null clines.

Details

The main function is phaseArrows, which plots vectors of the flow field of the phase plane.

Further functionality of this package are

• phaseNullclines: draw nullclines, estimated by contour line at level 0

• drawTrajectories: evaluate and draw trajectories in the phase plane

• phaseContours: draw contour lines for the y and x component of the derivative

• jacobianAtXY: Numerical approximation of the Jacobian at a point.

See also functionality of other packages:

• eigen: Computes eigenvalues and eigenvectors of real (double, integer, logical) or complex matrices.

Example systems provided with the package are:

• predatorprey: Lotka-Volterra system

• competition: A competition system in which two populations of animals compete for the same limited resource

• newtoncooling:

• fhn:

• disease:

• linear: damped harmonic oscillator, e.g. The dynamics of a spring-mass system with air friction.

This package draws from ideas and code of http://www.macalester.edu/~kaplan/math194/pplane.pdf of Prof. Daniel Kaplan. The original code is provided in origR/pplane.R in the installation directory.

Author(s)

Thomas Wutzler

pplane documentation built on May 2, 2019, 6:07 p.m.