What are the properties of a matrix ODE with symmetric (w.r.t. the origin) eigenvalues?

I consider the following system of matrix ODEs: (*) X'= X*A1 + Y*A2 Y'= -A2^T*X - A1^T*Y, where X, Y, A1, A2 are matrices in R^[nxn], ^T denotes the transpose. So far I know that the...

06 June 2014 3,590 9 View