D. Barkley, L.S. Tuckerman and M. Golubitsky
Bifurcation theory for three-dimensional flow in the wake of a circular cylinder
Phys. Rev. E.
61 (5) (2000) 5247-5252.
A bifurcation scenario is presented for three-dimensional vortex
shedding in the wake of a circular cylinder for Reynolds numbers up to
300. Amplitude equations are proposed to describe the nonlinear
interaction between two three-dimensional modes of shedding with
different spanwise wavenumbers and different spatio-temporal
symmetries. The amplitude equations explain many features of the
transition scenario observed experimentally.