Context : Aims : We study the low-amplitude and long-period variations in evolved stars using precise radial velocity measurements . Methods : The high-resolution , fiber-fed Bohyunsan Observatory Echelle Spectrograph ( BOES ) was used from September 2004 to May 2014 as part of the exoplanet search program at the Bohyunsan Optical Astronomy Observatory ( BOAO ) . Results : We report the detection of low-amplitude and long-period orbital radial velocity variations in three evolved stars , HD 3574 , 63 Cyg , and HD 216946 . They have periods of 1061 , 982 , and 1382 days and semi-amplitudes of 376 , 742 , and 699 m s ^ { -1 } , respectively . Conclusions :