Linear Cooperative Systems of ODE´s
A solution to an ordinary differential equation may be stable or unstable. Let x = φ(t) be a solution of an autonomous differential equation x′ = Ax. The solution x = φ(t) with φ(0) = t0 is stable if every other solution ψ(t) with initial condition sufficiently close to φ(t) will remain close to φ(t) for all t > 0. For an autonomous system of linear differential equations, it is possible to determ