D. Barkley, L.S. Tuckerman and M. Golubitsky
Biifurcation Theory for
Three-Dimensional Flow in the Wake of a Circular Cylinder
Phys. Rev. E. 61 No. 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.