Al-Mdallal, Q., Lawrence, K. & Kocabiyik, S.
2007
Forced streamwise oscillations of a circular cylinder: locked-on modes and resulting fluid forces. J. Fluids Struct.
23, 681–701.

Anagnostopoulos, P.
2000
Numerical study of the flow past a cylinder excited transversely to the incident stream. Part 1: lock-in zone, hydrodynamic forces and wake geometry. J. Fluids Struct.
14, 819–851.

Baek, S.-J. & Sung, H. J.
2000
Quasi-periodicity in the wake of a rotationally oscillating cylinder. J. Fluid Mech.
408, 275–300.

Barbi, C., Favier, D., Maresca, C. & Telionis, D.
1986
Vortex shedding and lock-on of a circular cylinder in oscillatory flow. J. Fluid Mech.
170, 527–544.

Bishop, R. & Hassan, A.
1964
The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proc. R. Soc. Lond. A
277, 51–75.

Blackburn, H. M. & Henderson, R. D.
1999
A study of two-dimensional flow past an oscillating cylinder. J. Fluid Mech.
385, 255–286.

Cantwell, C., Moxey, D., Comerford, A., Bolis, A., Rocco, G., Mengaldo, G., DE GRAZIA, D., Yakovlev, S., Lombard, J.-E. & Ekelschot, D.
2015
Nektar + +: an open-source spectral/hp element framework. Comput. Phys. Commun.
192, 205–219.

Carberry, J., Sheridan, J. & Rockwell, D.
2005
Controlled oscillations of a cylinder: forces and wake modes. J. Fluid Mech.
538, 31–69.

Cetiner, O. & Rockwell, D.
2001
Streamwise oscillations of a cylinder in a steady current. Part 1. Locked-on states of vortex formation and loading. J. Fluid Mech.
427, 1–28.

D’Adamo, J., Godoy-Diana, R. & Wesfreid, J. E.
2011
Spatiotemporal spectral analysis of a forced cylinder wake. Phys. Rev. E
84, 056308.

Detemple-Laake, E. & Eckelmann, H.
1989
Phenomenology of Kármán vortex streets in oscillatory flow. Exp. Fluids
7, 217–227.

Griffin, O. M. & Hall, M.
1991
Review – vortex shedding lock-on and flow control in bluff body wakes. J. Fluids Engng
113, 526–537.

Griffin, O. M. & Ramberg, S. E.
1974
The vortex-street wakes of vibrating cylinders. J. Fluid Mech.
66, 553–576.

Griffin, O. M. & Ramberg, S. E.
1976
Vortex shedding from a cylinder vibrating in line with an incident uniform flow. J. Fluid Mech.
75, 257–271.

Jiang, H., Cheng, L., Draper, S., An, H. & Tong, F.
2016
Three-dimensional direct numerical simulation of wake transitions of a circular cylinder. J. Fluid Mech.
801, 353–391.

Karniadakis, G. E., Israeli, M. & Orszag, S. A.
1991
High-order splitting methods for the incompressible Navier–Stokes equations. J. Comput. Phys.
97, 414–443.

Karniadakis, G. E. & Triantafyllou, G. S.
1989
Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech.
199, 441–469.

Konstantinidis, E. & Balabani, S.
2007
Symmetric vortex shedding in the near wake of a circular cylinder due to streamwise perturbations. J. Fluids Struct.
23, 1047–1063.

Konstantinidis, E. & Bouris, D.
2016
Vortex synchronization in the cylinder wake due to harmonic and non-harmonic perturbations. J. Fluid Mech.
804, 248–277.

Koopmann, G.
1967
The vortex wakes of vibrating cylinders at low Reynolds numbers. J. Fluid Mech.
28, 501–512.

Leontini, J., Stewart, B., Thompson, M. & Hourigan, K.
2006
Wake state and energy transitions of an oscillating cylinder at low Reynolds number. Phys. Fluids
18, 067101.

Leontini, J. S., Lo Jacono, D. & Thompson, M. C.
2011
A numerical study of an inline oscillating cylinder in a free stream. J. Fluid Mech.
688, 551–568.

Leontini, J. S., Ll Jacono, D. & Thompson, M. C.
2013
Wake states and frequency selection of a streamwise oscillating cylinder. J. Fluid Mech.
730, 162–192.

Lotfy, A. & Rockwell, D.
1993
The near-wake of an oscillating trailing edge: mechanisms of periodic and aperiodic response. J. Fluid Mech.
251, 173–201.

Marzouk, O. A. & Nayfeh, A. H.
2009
Reduction of the loads on a cylinder undergoing harmonic in-line motion. Phys. Fluids
21, 083103.

Mittal, S., Ratner, A., Hastreiter, D. & Tezduyar, T. E.
1991
Space-time finite element computation of incompressible flows with emphasis on flows involving oscillating cylinders. Intl Video J. Engng Res.
1, 83–96.

Morse, T. & Williamson, C.
2009
Prediction of vortex-induced vibration response by employing controlled motion. J. Fluid Mech.
634, 5–39.

Nazarinia, M., Lo Jacono, D., Thompson, M. C. & Sheridan, J.
2012
Flow over a cylinder subjected to combined translational and rotational oscillations. J. Fluids Struct.
32, 135–145.

Newman, D. J. & Karniadakis, G. E.
1997
A direct numerical simulation study of flow past a freely vibrating cable. J. Fluid Mech.
344, 95–136.

Olinger, D. & Sreenivasan, K.
1988
Nonlinear dynamics of the wake of an oscillating cylinder. Phys. Rev. Lett.
60, 797.

Olinger, D. J.
1993
A low-dimensional model for chaos in open fluid flows. Phys. Fluids
5, 1947–1951.

Olinger, D. J.
1998
A low-order model for vortex shedding patterns behind vibrating flexible cables. Phys. Fluids
10, 1953–1961.

Ongoren, A. & Rockwell, D.
1988a
Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake. J. Fluid Mech.
191, 197–223.

Ongoren, A. & Rockwell, D.
1988b
Flow structure from an oscillating cylinder. Part 2: mode competition in the near wake. J. Fluid Mech.
191, 225–245.

Ott, E.
2002
Chaos in Dynamical Systems.
Cambridge University Press.

Rao, A., Leontini, J., Thompson, M. & Hourigan, K.
2013
Three-dimensionality in the wake of a rotating cylinder in a uniform flow. J. Fluid Mech.
717, 1–29.

Sarpkaya, T., Bakinis, C. & Storm, M. A.
1984
Hydrodynamic forces from combined wave and current flow on smooth and rough circular cylinders at high Reynolds numbers. In Ocean Technology Conference, Houston, TX, October, p. 4830.

Stansby, P.
1976
The locking-on of vortex shedding due to the cross-stream vibration of circular cylinders in uniform and shear flows. J. Fluid Mech.
74, 641–665.

Tang, G., Cheng, L., Lu, L., Zhao, M., Tong, F. & Dong, G.
2016
Vortex formation in the wake of a streamwisely oscillating cylinder in steady flow. In Fluid–Structure–Sound Interactions and Control (ed. Zhou, Y., Lucey, A., Liu, Y. & Huang, L.), Springer.

Tanida, Y., Okajima, A. & Watanabe, Y.
1973
Stability of a circular cylinder oscillating in uniform flow or in a wake. J. Fluid Mech.
61, 769–784.

Tatsuno, M.
1972
Vortex streets behind a circular cylinder oscillating in the direction of flow. Bull. Res. Inst. Appl. Mech. Kyushu Univ.
36, 25–37.

Tatsuno, M. & Bearman, P.
1990
A visual study of the flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers and low Stokes numbers. J. Fluid Mech.
211, 157–182.

Tong, F., Cheng, L., Xiong, C., Draper, S., An, H. & Lou, X.
2017
Flow regimes for a square cross-section cylinder in oscillatory flow. J. Fluid Mech.
813, 85–109.

Tong, F., Cheng, L., Zhao, M. & An, H.
2015
Oscillatory flow regimes around four cylinders in a square arrangement under small KC and *Re* conditions. J. Fluid Mech.
769, 298–336.

Tudball-Smith, D., Leontini, J. S., Sheridan, J. & Lo Jacono, D.
2012
Streamwise forced oscillations of circular and square cylinders. Phys. Fluids
24, 111703.

Williamson, C. & Roshko, A.
1988
Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct.
2, 355–381.

Williamson, C. H. K. & Brown, G. L.
1998
A series in 1/*√Re* to represent the Strouhal–Reynolds number relationship of the cylinder wake. J. Fluids Struct.
12, 1073–1085.

Woo, H.
1999
A note on phase-locked states at low Reynolds numbers. J. Fluids Struct.
13, 153–158.

Wu, J.-Z., Lu, X.-Y., Denny, A. G., Fan, M. & Wu, J.-M.
1998
Post-stall flow control on an airfoil by local unsteady forcing. J. Fluid Mech.
371, 21–58.

Xu, S., Zhou, Y. & Wang, M.
2006
A symmetric binary-vortex street behind a longitudinally oscillating cylinder. J. Fluid Mech.
556, 27–43.

Zdravkovich, M.
1996
Different modes of vortex shedding: an overview. J. Fluids Struct.
10, 427–437.