In a system of coupled non-linear equations, if we linearise around a fixed point, how important is the rank of the matrix of eigenvectors?

I have a system of coupled nonlinear equations which can be written as dx/dt = f(Ax) where x is a vector, A a (real-valued) matrix and f a nonlinear function (note, f_i may not be exactly the...

25 June 2013 1,162 15 View