M. E. Mcintyre, R. T. Schumacher, and J. Woodhouse, On the oscillations of musical instruments, The Journal of the Acoustical Society of America, vol.74, issue.5, pp.1325-1345, 1983.
DOI : 10.1121/1.390157

M. P. Verge, B. Fabre, A. Hirschberg, and A. P. Wijnands, Sound production in recorderlike instruments. I. Dimensionless amplitude of the internal acoustic field, The Journal of the Acoustical Society of America, vol.101, issue.5, pp.2914-2924, 1997.
DOI : 10.1121/1.418521

URL : https://hal.archives-ouvertes.fr/hal-01105554

J. W. Coltman, Jet offset, harmonic content, and warble in the flute, The Journal of the Acoustical Society of America, vol.120, issue.4, pp.2312-2319, 2006.
DOI : 10.1121/1.2266562

N. H. Fletcher, Sound production by organ flue pipes, The Journal of the Acoustical Society of America, vol.60, issue.4, pp.926-936, 1976.
DOI : 10.1121/1.381174

R. T. Schumacher, Self-sustained oscillations of organ flue pipes: an integral equation solution, Acustica, vol.39, pp.225-238, 1978.

R. Auvray, B. Fabre, and P. Y. Lagrée, Regime change and oscillation thresholds in recorder-like instruments, The Journal of the Acoustical Society of America, vol.131, issue.2, pp.1574-1585, 2012.
DOI : 10.1121/1.3672815

URL : https://hal.archives-ouvertes.fr/hal-01444566

J. W. Coltman, Time???domain simulation of the flute, The Journal of the Acoustical Society of America, vol.92, issue.1, pp.69-73, 1992.
DOI : 10.1121/1.404078

S. Karkar, C. Vergez, and B. Cochelin, Oscillation threshold of a clarinet model: A numerical continuation approach, The Journal of the Acoustical Society of America, vol.131, issue.1, pp.698-707, 2012.
DOI : 10.1121/1.3651231

URL : https://hal.archives-ouvertes.fr/hal-00667987

B. Cochelin and C. Vergez, A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration, vol.324, issue.1-2, pp.243-262, 2000.
DOI : 10.1016/j.jsv.2009.01.054

URL : https://hal.archives-ouvertes.fr/hal-00315288

A. Chaigne and J. Kergomard, Acoustique des instruments de musique (Acoustics of musical instruments), ch, pp.469-510, 2008.

B. Fabre and A. Hirschberg, Physical modeling of flue instruments: A review of lumped models, Acta Acustica united with Acustica, vol.86, issue.4, pp.599-610, 2000.

H. Helmholtz, On the sensation of tones, 1954.

J. W. Rayleigh, The theory of sound second edition, p.1894

J. W. Coltman, Jet behavior in the flute, The Journal of the Acoustical Society of America, vol.92, issue.1, pp.74-83, 1992.
DOI : 10.1121/1.404079

A. Nolle, Sinuous instability of a planar air jet: Propagation parameters and acoustic excitation, The Journal of the Acoustical Society of America, vol.103, issue.6, pp.3690-3705, 1998.
DOI : 10.1121/1.423089

P. De-la-cuadra, C. Vergez, and B. Fabre, VISUALIZATION AND ANALYSIS OF JET OSCILLATION UNDER TRANSVERSE ACOUSTIC PERTURBATION, Journal of Flow Visualization and Image Processing, vol.14, issue.4, pp.355-374, 2007.
DOI : 10.1615/JFlowVisImageProc.v14.i4.20

URL : https://hal.archives-ouvertes.fr/hal-00336209

F. Silva, V. Debut, J. Kergomard, C. Vergez, A. Deblevid et al., Simulation of single reed instruments oscillations based on modal decomposition of bore and reed dynamics, Proceedings of the International Congress of Acoustics, 2007.

B. Fabre, A. Hirschberg, and A. P. Wijnands, Vortex shedding in steady oscillation of a flue organ pipe, Acta Acustica united with Acustica, vol.82, issue.6, pp.863-877, 1996.

K. Engelborghs, T. Luzyanina, and D. Roose, Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL, ACM Transactions on Mathematical Software, vol.28, issue.1, pp.1-21, 2002.
DOI : 10.1145/513001.513002

K. Engelborghs, T. Luzyanina, K. J. In-'t-hout, and D. Roose, Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations, SIAM Journal on Scientific Computing, vol.22, issue.5, pp.1593-1609, 2000.
DOI : 10.1137/S1064827599363381

A. H. Nayfeh and B. Balachandran, Applied Nonlinear Dynamics, 1995.
DOI : 10.1002/9783527617548

M. Meissner, Aerodynamically excited acoustic oscillations in cavity resonator exposed to an air jet, Acta Acustica united with Acustica, vol.88, issue.2, pp.170-180, 2001.

F. Blanc, Production de son par couplage écoulement/résonateur acoustique : étude des paramètres de facture des flûtes par expérimentations et simulations numériques d'écoulements (Sound production by the interaction between a jet flow and a resonator: study of geometrical parameters of flutes through experimentation and numerical flow simulations), 2009.

D. Ferrand, C. Vergez, B. Fabre, and F. Blanc, High-Precision Regulation of a Pressure Controlled Artificial Mouth: The Case of Recorder-Like Musical Instruments, Acta Acustica united with Acustica, vol.96, issue.4, pp.701-712, 2010.
DOI : 10.3813/AAA.918324

URL : https://hal.archives-ouvertes.fr/hal-00445632

D. H. Lyons, Resonance frequencies of the recorder (English flute), The Journal of the Acoustical Society of America, vol.70, issue.5, pp.1239-1247, 1981.
DOI : 10.1121/1.387136

M. P. Verge, B. Fabre, W. E. Mahu, A. Hirschberg, R. R. Van-hassel et al., Jet formation and jet velocity fluctuations in a flue organ pipe, The Journal of the Acoustical Society of America, vol.95, issue.2, pp.1119-1132, 1994.
DOI : 10.1121/1.408460

URL : https://hal.archives-ouvertes.fr/hal-01105552

M. S. Howe, The Role of Displacement Thickness Fluctuations in Hydroacoustics, and the Jet-Drive Mechanism of the Flue Organ Pipe, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.374, issue.1759, pp.543-568, 1981.
DOI : 10.1098/rspa.1981.0036

P. Bolton, recorder maker

J. P. Dalmont, B. Gazengel, J. Gilbert, and J. Kergomard, Some aspects of tuning and clean intonation in reed instruments, Applied Acoustics, vol.46, issue.1, pp.19-60, 1995.
DOI : 10.1016/0003-682X(95)93950-M

URL : https://hal.archives-ouvertes.fr/hal-00475069

N. H. Fletcher and L. M. Douglas, Harmonic generation in organ pipes, recorders, and flutes, The Journal of the Acoustical Society of America, vol.68, issue.3, pp.767-771, 1980.
DOI : 10.1121/1.384815

M. S. Howe, Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute, Journal of Fluid Mechanics, vol.43, issue.04, pp.625-673, 1975.
DOI : 10.1063/1.1762327

A. Hirschberg, J. Kergomard, and G. Weinreich, Mechanics of musical instruments, pp.291-361, 1995.

J. W. Coltman, Jet drive mechanisms in edge tones and organ pipes, The Journal of the Acoustical Society of America, vol.60, issue.3, pp.725-733, 1976.
DOI : 10.1121/1.381120

M. P. Verge, R. Caussé, B. Fabre, A. Hirschberg, A. P. Wijnands et al., Jet oscillations and jet drive in recorder-like instruments, Acta Acustica united with Acustica, vol.2, pp.403-419, 1994.

D. Barton, B. Krauskopf, and R. E. Wilson, Collocation schemes for periodic solutions of neutral delay differential equations, Journal of Difference Equations and Applications, vol.14, issue.11, pp.1087-1101, 2006.
DOI : 10.1137/0718072

N. H. Fletcher, Autonomous vibration of simple pressure???controlled valves in gas flows, The Journal of the Acoustical Society of America, vol.93, issue.4, pp.2172-2180, 1993.
DOI : 10.1121/1.406857