In this paper, starting from the general theory of the pseu-doriemannian conjugation, which was systematically elaborated for the first time in [3], and from the general theory of the almost symplectic $\omega$-conjugation, systematically elaborated in [4], the authors obtain a partition of the relativistic models $\Big\{\stackrel{G}{L}=\{E,G,D\}\Big\}$, and also of the hamiltonian models $\Big\{\stackrel{\omega}{L}=\{E,\omega,D\}\Big\}$, based on a general criterion of conjugation.