title: Bifurcation theory for three-dimensional flow in the wake of a circular cylinder
abstract: 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 wave numbers and different spatiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.
authors.affiliation: Mathematics Institute, University of Warwick, Coventry, United Kingdom. barkley@maths.warwick.ac.uk
authors.initials: D
authors.lastname: Barkley
authors.initials: LS
authors.lastname: Tuckerman
authors.initials: M
authors.lastname: Golubitsky