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X-ray variabilities with spectral state transitions in bright low mass X-raybinaries containing a neutron star are investigated by using the one-day binlight curves of MAXI/GSC (Gas Slit Camera) and Swift/BAT (Burst AlertTelescope). Four sources (4U 1636$-$536, 4U 1705$-$44, 4U 1608$-$52, and GS1826$-$238) exhibited small-amplitude X-ray variabilities with spectral statetransitions. Such "mini-outbursts" were characterized by smaller amplitudes(several times) and shorter duration (less than several tens of days) thanthose of "normal outbursts." Theoretical model of disk instability by Mineshigeand Osaki (PASJ, 37, 1, 1985) predicts both large-amplitude outbursts andsmall-amplitude variabilities. We interpret the normal outbursts as the formerprediction of this model, and the mini-outbursts as the latter. Here, we canalso call the mini-outburst as "purr-type outburst" referring to theoreticalwork. We suggest that similar variabilities lasting for several tens of dayswithout spectral state transitions, which are often observed in the hard state,may be a repeat of mini-outbursts.

X-ray variability with spectral state transitions in NS-LMXBs observed with MAXI/GSC and Swift/BAT