example4 {phaseR} | R Documentation |
Example ODE system 4
Description
The derivative function of an example two-dimensional autonomous ODE system.
Usage
example4(t, y, parameters)
Arguments
t |
The value of t, the independent
variable, to evaluate the derivative at. Should be a
|
y |
The values of x and
y, the dependent variables, to evaluate
the derivative at. Should be a |
parameters |
The values of the parameters of the system. Not used here. |
Details
example4
evaluates the derivatives of the following coupled ODE system
at the point (t, x, y):
Its format is designed to be compatible with ode
from
the deSolve
package.
Value
Returns a list
containing the values of the two
derivatives at
(t, x, y).
Author(s)
Michael J Grayling
See Also
Examples
# Plot the velocity field, nullclines and several trajectories
example4_flowField <- flowField(example4,
xlim = c(-3, 3),
ylim = c(-5, 5),
points = 19,
add = FALSE)
y0 <- matrix(c(1, 0, -1, 0, 2, 2,
-2, 2, -3, -4), 5, 2,
byrow = TRUE)
example4_nullclines <- nullclines(example4,
xlim = c(-3, 3),
ylim = c(-5, 5))
example4_trajectory <- trajectory(example4,
y0 = y0,
tlim = c(0,10))
[Package phaseR version 2.2.1 Index]