Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Amplitude
BUB_AMPParameter: Variation
BUB_AMPVARParameter: Speed
BUB_PERIODParameter: Variation
BUB_PERIODVARParameter: Phase Variation
BUB_PHASEVARParameter: On
IN_BUB_ONParameter: Animation Time
IN_BUB_ATIME