Abstract: This paper points out that viscosity can induce mode splitting (or called bifurcation) of the type of one-to-infinity in an infinite capillary liquid cylinder This phenomenon is similar to the Zeeman and Stark effects in atomic physics, although of different importance. After splitting there occur stable modes with negative potential energy, which are opposite to Hare and Chandrasekhar's energy principle.This paper points out that viscosity can induce mode splitting (or called bifurcation) of the type of on...