I would like to construct a Matrix containing the output of a function f(x,y) for different values of x and y, with the x-values varying (say) along the column and the y-values varying along the row.

I have a 3-dimensional dynamic system of ODEs characterized by zero eigenvalues at the origin. I would like to know if it's possible to find one trajectory converging towards the origin.

My system is derived from a control problem and has consequently control-like and state-like variables -- while the neighborhood is typically unstable I need to know if an appropriate choice of initial values can steer the system towards the origin;  I expect at most one such trajectory.

This is a problem about which I have previously posted here on several occasions, please stop reading now if you are fed up with it, I do apologize.

Let me go straight to the somewhat-reduced-form problem. I have two (non-autonomous) ODEs in C(x) and Q(x)

ODE1 := diff(C(x),x) = s*(fx(x)-Q(x))*C(x) / (f(x)-C(x));
ODE2 := diff(Q(x),x) = (Q(x)-b1)*(b2-Q(x)) / (f(x)-C(x)) + (Q(x)-b)*s*(fx(x)-Q(x))*C(x) / (f(x)-C(x))^2;

In the above, f(x) is a known function and s, b1, b2, b are known real parameters. A particular parameterization is the following:

I've got a set of Mathematica notebooks written by my co-author which I was thinking about translating into Maple worksheets (we also have a Matlab version of the same simulations so I thought it would be fitting to have a set of Maple equivalents too)... until I realized it may not be all that simple. Does anyone have prior experience using the MmaTranslator?

I would like to use a series of Maple worksheets, written by Professors Malidi Ahamadi and Jean-Jacques Gervais, designed to compute the normal forms of ODEs and PDEs. The code was written for an earlier version of Maple (maybe version 7 or 8) and doesn't run anymore on Maple 13. I would like to make the necessary adaptations to the code to run it on Maple 13. Unfortunately, I am no Maple expert...

When I run the worksheet, the following error message shows: