phaseR (version 2.1.3)

morrisLecar: The Morris-Lecar model

Description

The derivative function of the Morris-Lecar model, an example of a two-dimensional autonomous ODE system.

Usage

morrisLecar(t, y, parameters)

Value

Returns a list containing the values of the two derivatives at (t, x, y).

Arguments

t

The value of t, the independent variable, to evaluate the derivative at. Should be a numeric vector of length one.

y

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

parameters

The values of the parameters of the system. Should be a numeric vector with parameters specified in the following order: g_Ca, φ.

Author

Michael J Grayling

Details

morrisLecar evaluates the derivative of the following ODE at the point (t, x, y):

dx/dt = 0.05(90 - 0.5g_Ca(1 + tanh(x + 1.2)/18))(x - 120) - 8y(x + 84) - 2(x + 60), dy/dt = φ(0.5(1 + tanh((x - 2)/30)) - y)cosh((x - 2)/60).

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

See Also

ode