In the study, a bistable system is driven by additive colored noise an
d multiplicative colored noise, whose correlation is of an exponential
form. When the noises are correlated, it is found that the system und
ergoes a reentrant transition as the correlation strength between nois
es or multiplicative noise intensity changes, while there is no such p
henomenon as the additive noise intensity or the time of correlation c
hanges. No reentrant transition exists when the noises ale uncorrelate
d.