Temporal evolution of the simulation with a_B = 1000 ua, e_B = 0.9, and i_B = 75°. The left panels show, from top to bottom, the orbital elements of the planets: distance to the central star, e_j and i_j, with j = 1, 2, 3. The bottom panel shows the angle associated to the vZLK resonance (ω_j = ϖ_j − Ω_j). The right panel corresponds to the vZLK representative plane (ω_j, e_j), where the level curves of the octupolar Hamiltonian are superimposed with the simulation color-coded by time from the moment where the system is left with one planet.