  A magnetic field applied perpendicularly to the chiral two-dimensional
electron gas (C2DEG)\ in a Bernal-stacked bilayer graphene quantizes the
kinetic energy into a discrete set of Landau levels $N=0,\pm 1,\pm 2,...$ While
Landau level $N=0$ is eighfold degenerate, higher Landau levels ($ \left\vert
N\right\vert \geq 1$) are fourfold degenerate when counting spin and valley
degrees of freedom. In this work, the Hartree-Fock approximation is used to
study the phase diagram of the C2DEG at integer fillings $ \widetilde{\nu
}=1,2,3$ of these higher Landau levels. At these filling factors, the C2DEG is
a valley or spin Ising quantum Hall ferromagnet. At odd fillings, the C2DEG is
spin polarized and has all its electrons in one valley or the other. There is
no intervalley coherence in contrast with most of the the ground states in
Landau level $N=0.$ At even filling, $\widetilde{\nu }=2,$ the C2DEG is either
fully spin polarized with electrons occupying both valleys or spin unpolarized
with electron occupying one of the two valleys. A finite electric field (or
bias) applied perpendicularly to the plane of the C2DEG induces a series of
first-order phase transitions between these different ground states. The
transport gap or its slope is discontinuous at the bias where a transition
occurs. Such discontinuity may result in a change in the transport properties
of the C2DEG at that bias.
