  Following the basic principles of a charge separated pulsar magnetosphere
\citep{goldreich1969}, we consider the magnetosphere be stationary in space,
instead of corotating, and the electric field be uploaded from the potential
distribution on the pulsar surface, set up by the unipolar induction.
Consequently, the plasma of the magnetosphere undergoes guiding center drifts
of the gyro motion due to the transverse forces to the magnetic field. These
forces are the electric force, magnetic gradient force, and field line
curvature force. Since these plasma velocities are of drift nature, there is no
need to introduce an emf along the field lines, which would contradict the
$E_{\parallel}=\vec E\cdot\vec B=0$ plasma condition. Furthermore, there is
also no need to introduce the critical field line separating the electron and
ion open field lines. We present a self-consistent description where the
magnetosphere is described in terms of electric and magnetic fields and also in
terms of plasma velocities. The fields and velocities are then connected
through the space charge densities self-consistently. We solve the pulsar
equation analytically for the fields and construct the standard steady state
pulsar magnetosphere. By considering the unipolar induction inside the pulsar
and the magnetosphere outside the pulsar as one coupled system, and under the
condition that the unipolar pumping rate exceeds the Poynting flux in the open
field lines, plasma pressure can build up in the magnetosphere, in particular
in the closed region. This could cause a periodic openning up of the closed
region, leading to a pulsating magnetosphere, which could be an alternative for
pulsar beacons. The closed region can also be openned periodically by the
build-up of toroidal magnetic field through a positive feedback cycle.
