What is the physical interpretation of the eigenvalues of the monodromy matrix and how are they associated with the invariant manifolds?

SOLVED: Calculate the Jacobian matrix of the Hénon map and find its eigenvalues.

A Jacobian matrix and two equlibria are given. Determine if each is locally stable, unstable, or if the analysis is inconclusive. J=[ 2 x1 -sin x2 cos x1 0] (i) x̂1=1, x̂2=-π(ii) x̂1=1, x̂2=π | Numerade