example11 {phaseR} | R Documentation |
Example ODE system 11
Description
The derivative function of an example two-dimensional autonomous ODE system.
Usage
example11(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
example11
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
example11_flowField <- flowField(example11,
xlim = c(-5, 5),
ylim = c(-5, 5),
points = 21,
add = FALSE)
y0 <- matrix(c(4, 4, -1, -1,
-2, 1, 1, -1), 4, 2,
byrow = TRUE)
example11_nullclines <- nullclines(example11,
xlim = c(-5, 5),
ylim = c(-5, 5),
points = 200)
example11_trajectory <- trajectory(example11,
y0 = y0,
tlim = c(0, 10))
# Determine the stability of the equilibrium points
example11_stability_1 <- stability(example11, ystar = c(0, 0))
example11_stability_2 <- stability(example11, ystar = c(0, 2))
example11_stability_3 <- stability(example11, ystar = c(1, 1))
example11_stability_4 <- stability(example11, ystar = c(3, 0))
[Package phaseR version 2.2.1 Index]