The Lindemann Mechanism
The derivative function of the non-dimensional version of the Lindemann Mechanism, an example of a two dimensional autonomous ODE system.
Value of t, the independent variable, to evaluate the derivative at. Should be a single number.
Values of x and y, the dependent variables, to evaluate the derivative at. Should be a vector of length 2.
Values of the parameters of the system. Should be a number for the value of alpha.
Evaluates the derivative of the following coupled ODE system at the point (t, x, y):
dx/dt = -x^2 + alpha*x*y, dy/dt = x^2 - alpha*x*y - y.
Format is designed to be compatible with ode from the deSolve package.
Returns a list dy containing the values of the two derivatives at (t, x, y).
Michael J. Grayling