In this Letter numerical evidence for a new period‐doubling mechanism in free shear flows is presented. As a case study, the three‐dimensional flow in the wake of an infinitely long circular cylinder at Reynolds number 300 is considered. It is shown that the flow in the wake doubles its period of oscillation by alternating between oscillation modes, which are identical in every respect, except from their spanwise structure. There is no merging of vortices, and the flow preserves its basic vortex‐street structure.

1.
M. J.
Feigenbaum
, “
Universal behavior in nonlinear systems
,”
Physica D
7
,
16
(
1983
).
2.
J.
Guckenheimer
, “
Strange attractors in fluids: Another view
,”
Annu. Rev. Fluid Mech.
18
,
15
(
1986
).
3.
K. Coughlin, “Quasiperiodic Taylor-Couette flow,” Ph.D. thesis, Harvard University, 1990.
4.
A. Libchaber and J. Maurer, “A Rayleigh-Bénard experiment: Helium in a small box,” in Nonlinear Phenomena at Phase Transitions and Instabilities, edited by T. Riste, NATO ASI Series B (NATO, City, 1982), Vol. 77, p. 259.
5.
H. Lamb, Hydrodynamics (Dover, New York, 1932).
6.
R. W.
Miksad
, “
Experiments on the nonlinear stages of free-shear-layer transition
,”
J. Fluid Mech.
56
,
695
(
1972
).
7.
R. T.
Pierrehumbert
and
S. E.
Widnall
, “
The two- and three-dimensional instabilities of a spatially periodic shear layer
,”
J. Fluid Mech.
114
,
59
(
1982
).
8.
R. W.
Metcalfe
,
S. A.
Orszag
,
M. E.
Brachet
,
M. E.
Menon
, and
J. J.
Riley
, “
Secondary instability of a temporally growing mixing layer
,”
J. Fluid Mech.
184
,
207
(
1987
).
9.
L. S.
Huang
and
C. M.
Ho
, “
Small-scale transition in a plane mixing layer
,”
J. Fluid Mech.
210
,
475
(
1990
).
10.
G. E.
Karniadakis
and
G. S.
Triantafyllou
, “
Three-dimensional dynamics and transition in the wake of bluff objects
,”
J. Fluid Mech.
238
,
1
(
1992
).
11.
G. S. Triantafyllou, “Three-dimensional flow patterns in two-dimensional wakes,” in Nonsteady Fluid Mechanics, edited by J. A. Miller and D. P. Telionis (ASME, New York, 1990), ASME FED Vol. 92.
12.
A. G. Tomboulides, “Direct and large eddy simulations of wake flows,” Ph.D. thesis, Princeton University, Princeton, New Jersey, 1992.
13.
F. Nuzzi, C. Magness, and D. Rockwell, “Three-dimensional vortex formation from an oscillating nonuniform cylinder,” submitted to J. Fluid Mech. (1991).
14.
J. D.
Crawford
and
E.
Knobloch
, “
Symmetry and symmetry-breaking bifurcations in fluid dynamics
,”
Annu. Rev. Fluid Mech.
23
,
341
(
1991
).
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