phaseR (version 2.0)

example4: 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 , the independent variable, to evaluate the derivative at. Should be a single number.

y

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

parameters

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

Value

Returns a list containing the values of the two derivatives at .

Details

example4 evaluates the derivatives of the following coupled ODE system at the point :

Its format is designed to be compatible with ode from the deSolve package.

See Also

ode

Examples

# NOT RUN {
# 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))
# }