They are never negative, which is why convergence of orbits is never observed in Hamiltonian systems, and a positive value for these values indicates that the system is not integrable.
The Pesin identity shows that the Kolmogorov-Sinai entropy is equal to the sum of these in a dynamical system, while the Osedelec theorem gives them for an n-dimensional map. For Hamiltonian systems, they exist in additive invers pairs and one of these is always 0 for any system. They are never negative, which is why convergence of orbits is never observed in Hamiltonian systems, and a positive value for these values indicates that the system is not integrable. For ten points, what is this quantity, which describes the rate at which two initially-close trajectories diverge, a measure of chaos in a dynamical system?
The Pesin identity shows that the Kolmogorov-Sinai entropy is equal to the sum of these in a dynamical system, while the Osedelec theorem gives them for an n-dimensional map.
Lyapunov exponent