a) Number N_cap of captured DMPs as a function of time t in years for the energy range w> 0 (black curve), w> 4 × 10^-5 corresponding to half the distance between Sun and the Alpha Centauri system (red curve), w> 1/20 corresponding to r< 100 AU (blue curve); N_J = 4 × 10¹¹ DMPs are injected during SS lifetime t_S; data are obtained from the map (2) at J = 0.005, u = 17 corresponding to the Sun-Jupiter case. b) Top part: density distribution ρ(w) ∝ dN/ dw in energy at time t_S (normalized as ), bottom part: Poincaré section of the map (2); inset: density distribution of the captured DMPs in w (black curve), the red line shows the slope –3/2.