  We describe a model for the long term evolution of a circumplanetary disk
that is fed mass from a circumstellar disk and contains regions of low
turbulence (dead zones). We show that such disks can be subject to accretion
driven outbursts, analogous to outbursts previously modeled in the context of
circumstellar disks to explain FU Ori phenomena. Circumplanetary disks around a
proto-Jupiter can undergo outbursts for infall accretion rates onto the disks
in the range ~10^{-9} to 10^{-7} M_sun/yr, typical of accretion rates in the T
Tauri phase. During outbursts, the accretion rate and disk luminosity increases
by several orders of magnitude. Most of the planet mass growth during planetary
gas accretion may occur via disk outbursts involving gas that is considerably
hotter than predicted by steady state models. For low infall accretion rates
less than ~10^{-10} M_sun/yr that occur in late stages of disk accretion, disk
outbursts are unlikely to occur, even if dead zones are present. Such
conditions are favorable for the formation of icy satellites.
