Finding solution to matrix diffrential equation

Hi I want to solve this problem: Dm=j×m m is the matrix with this initial: m(0)=eye(6,6) How can i find the solution?

[Ameer Hamza]

Is m 6x6 vector or 6x1 vector? What is the dimension of j?

[Ehsan Moradi]

m is 6×6 matrix

[Ehsan Moradi]

Hi m is 6×6 matrix.

[Ameer Hamza]

Can you show your equation in mathematical form? I think it is possible to solve the equation the way to defined it, but I haven't seen such formulation anywhere else. Can you show where this is used?

[Ehsan Moradi]

Hi For caculate monodromy matrix we should solve this diffrential equation dm/dt=j(eta)m j:the jacubian matrix at eta eta:the initial condition vector (periodic solution of nonlinear system) The initial condition of m is I(6×6) Monodromy matrix is m(T). T is the period of system.