The Stuart–Landau model applied to wake transition revisited

Dusek, 1994, A numerical and theoretical study of the first Hopf bifurcation in a cylinder wake, J. Fluid Mech., 264, 59, 10.1017/S0022112094000583 Sreennivasan, 1986, Hopf bifurcation, Landau equation, and vortex shedding behind circular cylinders, vol. 52, 1 Provansal, 1987, Bénard–von Karman instability: transient and forced regimes, J. Fluid Mech., 182, 1, 10.1017/S0022112087002222 Schumm, 1994, Self-excited oscillations in the wake of two-dimensional bluff bodies and their control, J. Fluid Mech., 271, 17, 10.1017/S0022112094001679 Albarède, 1995, Quasi-periodic cylinder wakes and the Ginzburg–Landau model, J. Fluid Mech., 291, 191, 10.1017/S0022112095002679 Zielinska, 1995, On the spatial structure of global modes in wake flow, Phys. Fluids, 7, 1418, 10.1063/1.868529 Margarvey, 1961, Transition ranges for three-dimensional wakes, Canad. J. Phys., 39, 1418, 10.1139/p61-169 Margarvey, 1961, Wakes in liquid–liquid systems, Phys. Fluids, 4, 800, 10.1063/1.1706409 Thompson, 2001, Kinematics and dynamics of sphere wake transition, J. Fluids Structures, 15, 575, 10.1006/jfls.2000.0362 Provansal, 1998, Étude expérimentale de l'instabilité du sillage d'une sphère, C. R. Acad. Sci. Paris, Ser. IIb, 326, 489 Ormières, 1999, Transition to turbulence in the wake of a sphere, Phys. Rev. Lett., 83, 80, 10.1103/PhysRevLett.83.80 Ghidersa, 2000, Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere, J. Fluid Mech., 423, 33, 10.1017/S0022112000001701 Barkley, 1996, Secondary instability in the wake of a circular cylinder, Phys. Fluids, 8, 1683, 10.1063/1.868939 Henderson, 1997, Nonlinear dynamics and pattern formation in turbulent wake transition, J. Fluid Mech., 352, 65, 10.1017/S0022112097007465 Williamson, 1988, The existence of two stages in the transition to three-dimensionality of a cylinder wake, Phys. Fluids, 31, 3165, 10.1063/1.866925 Henderson, 1995, Details of the drag curve near the onset of vortex shedding, Phys. Fluids, 7, 2102, 10.1063/1.868459 Peshard, 1996, Coupled wakes of cylinders, Phys. Rev. Lett., 77, 3122, 10.1103/PhysRevLett.77.3122 Schouveiler, 2003, Interactions of the wakes of two spheres placed side by side, Eur. J. Mech. B Fluids, 23 Alberède, 1992, A model for the formation of oblique shedding and “chevron” patterns in cylinder wakes, Phys. Fluids A, 4, 744, 10.1063/1.858292 Williamson, 1996, Three-dimensional wake transition, J. Fluid Mech., 328, 345, 10.1017/S0022112096008750 Roussopoulos, 1996, Nonlinear modelling of vortex shedding control in cylinder wakes, Physica D, 97, 264, 10.1016/0167-2789(96)00151-0 Barkley, 2000, Bifurcation theory for three-dimensional flow in the wake of a circular cylinder, Phys. Rev. E, 61, 5247, 10.1103/PhysRevE.61.5247 Le Gal, 2001, J. Fluids Structures, 15, 445, 10.1006/jfls.2000.0344 Gambaudo, 1985, Perturbation of a Hopf bifurcation by an external time-periodic forcing, J. Differential Equations, 57, 172, 10.1016/0022-0396(85)90076-2 Thompson, 2001, Application of the forced Stuart–Landau model to cylinder wake oscillation Thompson, 1996, Three-Dimensional Instabilities in the Wake of a Circular Cylinder, Exp. Therm. Fluid Sci., 12, 190, 10.1016/0894-1777(95)00098-4 Karniadakis, 1999