We study the dynamics of a scalar field in the brane cosmology. We assume
that a scalar field is confined in our 4-dimensional world. As for the
potential of the scalar field, we discuss three typical models: (1) a power-law
potential, (2) an inverse-power-law potential, and (3) an exponential
potential. We show that the behavior of the scalar field is very different from
a conventional cosmology when the energy density square term is dominated.Comment: 15pages, 8figures, submitted to Physical Review