example8

The value of , the independent
variable, to evaluate the derivative at. Should be a single number.

The values of and 
, the dependent
variables, to evaluate the derivative at. Should be a vector of length two.

The values of the parameters of the system. Not required
here.

parameters

The derivative function of an example two-dimensional autonomous ODE system.

Performs a qualitative analysis
of one and two dimensional autonomous ODE 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.

example8: Example ODE System 8

Description

Usage

Arguments

Value

Details

See Also