We study cosmological dynamics and phase space of a scalar field localized on the Dvali–Gabadadze–Porrati brane.We consider both the minimally and nonminimally coupled scalar quintessence and phantom fields on the brane. In the non-minimal case, the scalar field couples with induced gravity on the brane. We present a detailed analysis of the critical points, their stability and late-time cosmological viability of the solutions in the phase space of the model.
