Dynamical maps for the HD 181433 system, constructed over the (a₂, e₂) (top) and (a₂, M₂) (bottom) planes of ICs and obtained from the numerical solutions of a mesh of 100 × 100 ICs. The grid sizes are 0.004 AU in a₂, 0.0005 in e₂ and 1 deg inM₂. (a–b) MEGNO-maps showing the rescaled value ⟨Y′⟩ = ⟨Y ⟩− 1.99. (c–d) e₂-maps of the maximum amplitude of variation of e₂ within T = 1 Myr. (e–f) τ_inst-maps obtained from D_S-estimates. The (a₂, M₂)-maps show the chain of resonant islands generated by the 7/1 MMR, inside which a stable motion is expected. In all the bottom panels, the “X”-symbols mark the elliptic (white) and hyperbolic (black) solutions. The black dot indicates (A0). In maps a through d, integrations were carried out to 1 Myr; in the case of e and f the time-span was set ten times lower.