This name is a synonym of Rhipsalis dichotoma (DC.) Don.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50009629) with original publication details: Prodr. 3: 476 1828.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:219258-2.
This name was in version 1 of The Plant List, record tro-50009629, and has not been changed.