. Ch, 5 Mesures de seuil d'oscillation

. Ch, 7 Résultats de simulations temporelles et compléments

J. Adrien, The missing link : Modal synthesis, Representations of Musical Signals, pp.269-297, 1991.

J. Agulló and &. A. Barjau, The reflection function r(t): A matrix approach versus FFT???1, Journal of Sound and Vibration, vol.106, issue.2, pp.193-201, 1986.
DOI : 10.1016/0022-460X(86)90312-3

T. Aittokallio, M. Gyllenberga, and &. O. Polo, A model of a snorer's upper airway, Mathematical Biosciences, vol.170, issue.1, pp.79-90, 2001.
DOI : 10.1016/S0025-5564(00)00062-6

A. Almeida, C. Vergez, and &. R. Caussé, Quasistatic nonlinear characteristics of double-reed instruments, The Journal of the Acoustical Society of America, vol.121, issue.1, pp.536-546, 2007.
DOI : 10.1121/1.2390668

URL : https://hal.archives-ouvertes.fr/hal-01106470

Y. Ando, On sound radiation from semi-infinite circular pipe of certain wall thickness, Acustica, vol.22, issue.4, pp.219-225, 1969.

J. Armitstead, C. Bertram, and &. O. Jensen, A study of the bifurcation behaviour of a model of flow through a collapsible tube, Bulletin of Mathematical Biology, vol.218, issue.4, pp.611-652, 1996.
DOI : 10.1007/BF02459476

M. Atig, Non-linéarité acoustique localisée à l'extrémité ouverte d'un tube. Mesure, modélisation et application aux instruments à vent, Thèse de doctorat, 2004.

M. Atig, J. Dalmont, and &. J. Gilbert, Saturation mechanism in clarinet-like instruments, the effect of the localised non-linear losses, Applied Acoustics, vol.65, issue.12, pp.1133-1154, 2004.
DOI : 10.1016/j.apacoust.2004.04.005

URL : https://hal.archives-ouvertes.fr/hal-00474985

F. Avanzini and &. M. Van-walstijn, Modelling the mechanical response of the reedmouthpiece-lip system of a clarinet. part I. a one-dimensional distributed model, Acta Acustica united with Acustica, vol.90, issue.11, pp.537-547, 2004.

J. Backus, Vibrations of the Reed and the Air Column in the Clarinet, The Journal of the Acoustical Society of America, vol.33, issue.6, pp.806-809, 1961.
DOI : 10.1121/1.1908803

J. Backus, Small???Vibration Theory of the Clarinet, The Journal of the Acoustical Society of America, vol.35, issue.3, pp.305-313, 1963.
DOI : 10.1121/1.1918458

J. Backus, Effect of Wall Material on the Steady???State Tone Quality of Woodwind Instruments, The Journal of the Acoustical Society of America, vol.36, issue.10, pp.1881-1887, 1964.
DOI : 10.1121/1.1919286

J. Backus, The effect of the player???s vocal tract on woodwind instrument tone, The Journal of the Acoustical Society of America, vol.78, issue.1, pp.17-20, 1985.
DOI : 10.1121/1.392556

A. Barjau, V. Gibiat, and &. N. Grand, Study of woodwind-like systems through nonlinear differential equations. Part I. Simple geometry, The Journal of the Acoustical Society of America, vol.102, issue.5, pp.3023-3031, 1997.
DOI : 10.1121/1.420357

M. Barthet, De l'interprète à l'auditeur : une analyse acoustique et perceptive du timbre musical, Thèse de doctorat, 2008.

A. H. Benade, On the Mathematical Theory of Woodwind Finger Holes, The Journal of the Acoustical Society of America, vol.32, issue.12, pp.1591-1608, 1960.
DOI : 10.1121/1.1907968

A. H. Benade, On the Propagation of Sound Waves in a Cylindrical Conduit, The Journal of the Acoustical Society of America, vol.44, issue.2, pp.616-623, 1968.
DOI : 10.1121/1.1911130

A. H. Benade, Air column, reed and player's vocal tract on woodwind instrument tone, Vocal Fold Physiology, 1983.

A. H. Benade and &. M. Ibisi, Survey of impedance methods and a new piezo???disk???driven impedance head for air columns, The Journal of the Acoustical Society of America, vol.81, issue.4, pp.1152-1167, 1987.
DOI : 10.1121/1.394636

A. H. Benade and &. S. Kouzoupis, The clarinet spectrum: Theory and experiment, The Journal of the Acoustical Society of America, vol.83, issue.1, pp.292-304, 1988.
DOI : 10.1121/1.396431

D. Bernoulli, Réflexions et éclaircissements sur les nouvelles vibrations des cordes exposées dans les mémoires de l'académie de 1747 et 1748, Histoire de l'Académie Royale de Berlin, p.1753

D. Bernoulli, Sur le ton et sur les tons des tuyaux d'orgue différemment construits. Rap. tech. 431, Mém. Acad. Sci, p.1763

S. Bilbao, Wave and scattering methods for the numerical integration of partial differential equations, Thèse de doctorat, 2001.

]. S. Bilbao, Direct simulation for wind instrument synthesis, Proceedings of the 11th International Conference on Digital Audio Effects, 2008.

S. Bilbao, J. Bensa, and &. , The wave digital reed : a passive formulation, Proceedings of the 6th International Conference On Digital Audio Effects(Grande-Bretagne Londres), 2003.
URL : https://hal.archives-ouvertes.fr/hal-00088909

R. D. Blevins, Flow-induced vibration, 2001.

H. Bouasse, Instruments à vent, Tome 1 : Anches métalliques et membraneuses, tuyaux anche et bouche -orgue,instruments embouchure de cor, Librairie Scientifique et Technique Albert Blanchard, p.1, 1930.

X. Boutillon and &. V. Gibiat, Evaluation of the acoustical stiffness of saxophone reeds under playing conditions by using the reactive power approach, The Journal of the Acoustical Society of America, vol.100, issue.2, pp.1178-1189, 1996.
DOI : 10.1121/1.416302

M. Brown, The acoustic impedance of bb clarinet, 2008.

]. J. Bruckert, Étude des variations fréquentielles dans le transitoire d'attaque de la clarinette, 2007.

R. Caussé, J. Kergomard, and &. X. Lurton, Input impedance of brass musical instruments???Comparison between experiment and numerical models, The Journal of the Acoustical Society of America, vol.75, issue.1, pp.241-254, 1984.
DOI : 10.1121/1.390402

A. Chaigne and &. J. Kergomard, Acoustique des instruments de musique, BELIN, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00455011

R. W. Chan and &. R. Titze, Dependence of phonation threshold pressure on vocal tract acoustics and vocal fold tissue mechanics, The Journal of the Acoustical Society of America, vol.119, issue.4, pp.2351-2362, 2006.
DOI : 10.1121/1.2173516

Y. M. Chang, Reed stability, Journal of Fluids and Structures, vol.8, issue.7, pp.771-783, 1994.
DOI : 10.1016/S0889-9746(94)90240-2

J. M. Chen, J. Smith, and &. J. Wolfe, on the clarinet: Roles of the vocal tract and partial tone hole closure, The Journal of the Acoustical Society of America, vol.126, issue.3, pp.1511-1520, 2009.
DOI : 10.1121/1.3177269

J. Chick, S. Bromage, M. Campbell, S. Stevenson, and &. J. Gilbert, Motion of the Brass Player's Lips During Extreme Loud Playing, 2006.

J. M. Chowning, The synthesis of complex audio spectra by means of frequency modulations, J. Audio Eng. Soc, vol.21, issue.7, 1973.

J. Y. Chung and &. D. Blaser, Transfer function method of measuring in???duct acoustic properties. I. Theory, The Journal of the Acoustical Society of America, vol.68, issue.3, pp.907-913, 1980.
DOI : 10.1121/1.384778

J. Y. Chung and &. D. Blaser, Transfer function method of measuring in???duct acoustic properties. II. Experiment, The Journal of the Acoustical Society of America, vol.68, issue.3, pp.914-921, 1980.
DOI : 10.1121/1.384779

B. Cochelin, C. Vergez, and &. S. Karkar, Manlab, an interactive series-expansion approach for continuation -focus on periodic solutions, 2009.

J. S. Cullen, J. Gilbert, and &. M. Campbell, Brass Instruments : Linear Stability Analysis and Experiments with an Artificial Mouth, Acta Acustica united with Acustica, vol.86, issue.4, pp.704-724, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00474993

A. R. Da-silva, G. P. Scavone, and &. M. Van-walstijn, Numerical simulations of fluid-structure interactions in single-reed mouthpieces, The Journal of the Acoustical Society of America, vol.122, issue.3, pp.1798-1809, 2007.
DOI : 10.1121/1.2759166

J. Dalmont and &. Bruneau, Acoustic impedance measurement: Plane???wave mode and first helical mode contributions, The Journal of the Acoustical Society of America, vol.91, issue.5, pp.3026-3033, 1992.
DOI : 10.1121/1.402937

J. Dalmont and &. C. Frappé, Oscillation and extinction thresholds of the clarinet: Comparison of analytical results and experiments, The Journal of the Acoustical Society of America, vol.122, issue.2, pp.1173-1179, 2007.
DOI : 10.1121/1.2747197

J. 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

J. Dalmont, J. Gilbert, J. Kergomard, and &. S. Ollivier, An analytical prediction of the oscillation and extinction thresholds of a clarinet, The Journal of the Acoustical Society of America, vol.118, issue.5, pp.3294-3305, 2005.
DOI : 10.1121/1.2041207

URL : https://hal.archives-ouvertes.fr/hal-00093546

J. Dalmont, J. Gilbert, and &. S. Ollivier, Nonlinear characteristics of single-reed instruments: Quasistatic volume flow and reed opening measurements, The Journal of the Acoustical Society of America, vol.114, issue.4, pp.2253-2262, 2003.
DOI : 10.1121/1.1603235

URL : https://hal.archives-ouvertes.fr/hal-00474990

J. Dalmont and &. , Le Roux. A new impedance sensor for wind instruments, 2008.

J. Dalmont, C. J. Nederveen, and &. N. Joly, RADIATION IMPEDANCE OF TUBES WITH DIFFERENT FLANGES: NUMERICAL AND EXPERIMENTAL INVESTIGATIONS, Journal of Sound and Vibration, vol.244, issue.3, pp.505-534, 2001.
DOI : 10.1006/jsvi.2000.3487

P. O. Davies, J. L. Bento-coelho, and &. M. Bhattacharya, Reflection coefficients for an unflanged pipe with flow, Journal of Sound and Vibration, vol.72, issue.4, pp.543-546, 1980.
DOI : 10.1016/0022-460X(80)90364-8

V. Debut, Deux études d'un instrument de musique de type clarinette : Analyse des fréquences propres du résonateur et calcul des auto-oscillations par décomposition modale, Thèse de doctorat, 2004.

P. Dickens, J. Smith, and &. J. Wolfe, Improved precision in measurements of acoustic impedance spectra using resonance-free calibration loads and controlled error distribution, The Journal of the Acoustical Society of America, vol.121, issue.3, pp.1471-1481, 2007.
DOI : 10.1121/1.2434764

P. Dierckx, An algorithm for smoothing, differentiation and integration of experimental data using spline functions, Journal of Computational and Applied Mathematics, vol.1, issue.3, pp.165-184, 1975.
DOI : 10.1016/0771-050X(75)90034-0

P. Dierckx, Fitpack user's guide. part 1 : curve fitting routines, 1987.

P. Dings, Separation and reattachment of the flow in the channel of a reed instrument, 1989.

E. J. Doedel and &. B. Oldeman, AUTO-07P : Continuation and Bifurcation Software for Ordinary Differential Equations, 2009.

V. Doutaut, D. Matignon, and &. A. Chaigne, Numerical simulations of xylophones. II. Time-domain modeling of the resonator and of the radiated sound pressure, The Journal of the Acoustical Society of America, vol.104, issue.3, pp.1633-1647, 1998.
DOI : 10.1121/1.424376

V. Dubos, J. Kergomard, A. Khettabi, J. Dalmont, D. H. Keefe et al., Theory of Sound Propagation in a Duct with a Branched Tube Using Modal Decomposition, Acta Acustica, vol.85, issue.2, pp.153-169, 1999.

E. Ducasse, Modélisation et simulation dans le domaine temporel d'instruments à vent à anche simple en situation de jeu : méthodes et modèles, Thèse de doctorat, 2001.

F. Ehara and &. S. Yoshikawa, Radiation directionality measurement of clarinets made of different wall material, pp.525-528, 2005.

S. J. Elliott and &. J. Bowsher, Regeneration in brass wind instruments Numerical and experimencal modal analysis of the reed and pipe of a clarinet, Journal of Sound and Vibration Journal of the Acoustical Society of America, vol.83, issue.1135, pp.181-217, 1727.

S. Farner, C. Vergez, J. Kergomard, and &. Deblevid, Contribution to harmonic balance calculations of self-sustained periodic oscillations with focus on single-reed instruments, The Journal of the Acoustical Society of America, vol.119, issue.3, pp.1794-1804, 2006.
DOI : 10.1121/1.2166602

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, 2009.
DOI : 10.3813/AAA.918324

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

N. H. Fletcher, Mode locking in nonlinearly excited inharmonic musical oscillators, The Journal of the Acoustical Society of America, vol.64, issue.6, pp.1566-1569, 1978.
DOI : 10.1121/1.382139

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

N. H. Fletcher, Nonlinearity, complexity, and the sounds of musical instruments, The Journal of the Acoustical Society of America, vol.103, issue.5, p.3062, 1998.
DOI : 10.1121/1.422822

N. H. Fletcher and &. D. Rossing, The Physics of Musical Instruments, chap. Wind Instruments, pp.345-425, 1991.

J. Florens and &. C. Cadoz, Synthesizing the physical model : Modeling and simulating the instrumental universe, Representations of Musical Signals, pp.227-268, 1991.

C. Fritz, Clarinette et clarinettiste : Influence du conduit vocal sur la production du son, Thèse de doctorat, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00088628

B. Gazengel, Caractérisation objective de la qualité de justesse, de timbre et d'émission des instruments à vent à anche simple, Thèse de doctorat, LAUM, 1994.

B. Gazengel, J. Gilbert, and &. N. Amir, Time Domain Simulation of Single Reed Wind Instrument. From the Measured Input Impedance to the Synthesis Signal. Where are the Traps ? Acta Acustica, pp.445-472, 1995.

B. Gazengel, T. Guimezanes, J. Dalmont, J. Doc, S. Fagart et al., Experimental investigation of the influence of the mechanical characteristics of the lip on the vibrations of the single reed, Proceedings of the International Symposium on Musical Acoustics, 2007.

V. Gibiat and &. F. Laloë, Acoustical impedance measurements by the two???microphone???three???calibration (TMTC) method, The Journal of the Acoustical Society of America, vol.88, issue.6, pp.2533-2545, 1990.
DOI : 10.1121/1.399975

J. Gilbert, Étude des instruments de musique à anche simple : extension de la méthode d'équilibrage harmonique, rôle de l'inharmonicité des résonances, mesure des grandeurs d'entrée, Thèse de doctorat, 1991.

J. Gilbert, J. Dalmont, and &. T. Guimezanes, Nonlinear propagation in woodwinds, Proceedings of Forum Acusticum. Budapest, 2005.

J. Gilbert, J. Kergomard, and &. E. Ngoya, Calculation of the steady???state oscillations of a clarinet using the harmonic balance technique, The Journal of the Acoustical Society of America, vol.86, issue.1, pp.35-41, 1989.
DOI : 10.1121/1.398352

URL : https://hal.archives-ouvertes.fr/hal-00924465

N. Grand, J. Gilbert, and &. F. Laloë, Oscillation threshold of woodwind instruments, Acta Acustica, vol.83, issue.1, pp.137-151, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00008980

C. D. Gray, Acoustic pulse reflectometry for measurement of the vocal tract with application in voice synthesis, Thèse de doctorat, 2005.

J. Guckenheimer and &. P. Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, John Guckenheimer, 1983.

J. Guedon, Nouveau manuel complet du facteur d'orgues, Dans Encyclopédie Roret. L. Laget, 1903.

P. Guillemain, A Digital Synthesis Model of Double-Reed Wind Instruments, EURASIP Journal on Advances in Signal Processing, vol.2004, issue.7, pp.990-1000, 2004.
DOI : 10.1155/S1110865704402194

URL : https://hal.archives-ouvertes.fr/hal-00091651

P. Guillemain, Some roles of the vocal tract in clarinet breath attacks: Natural sounds analysis and model-based synthesis, The Journal of the Acoustical Society of America, vol.121, issue.4, pp.2396-2406, 2007.
DOI : 10.1121/1.2642173

URL : https://hal.archives-ouvertes.fr/hal-00463074

P. Guillemain, J. Kergomard, and &. T. Voinier, Real-time synthesis of clarinet-like instruments using digital impedance models, The Journal of the Acoustical Society of America, vol.118, issue.1, pp.483-494, 2005.
DOI : 10.1121/1.1937507

URL : https://hal.archives-ouvertes.fr/hal-00009254

P. Guillemain and &. , Characterization of acoustic signals through continuous linear time-frequency representations, Proceedings of the IEEE, pp.561-585, 1996.
DOI : 10.1109/5.488700

P. Guillemain, C. Vergez, D. Ferrand, and &. A. Farcy, An instrumented saxophone mouthpiece and its use to inspect the strategies of an experienced player, Acta Acustica united with Acustica, 2009.

T. Guimezanes, Etude expérimentale et numérique de l'anche de clarinette, Thèse de doctorat, 2008.

J. M. Heinrich, Recherche du mécanisme régulateur de la qualité musicale de l' anche double confectionnée en canne de provence, Thèse de doctorat, 1986.

A. Hirschberg, Mechanics of Musical Instruments, CISM Courses and Lectures, pp.291-369, 1995.

A. Hirschberg, J. Gilbert, A. P. Wijnands, and &. A. Houtsma, Non-linear behaviour of single reed woodwind musical instrument, Nederlands Akoestisch Genootschap, vol.107, pp.31-43, 1991.

A. Hirschberg, J. Gilbert, A. P. Wijnands, and &. A. Valkering, Musical aeroacoustics of the clarinet, J. Phys. IV, Colloque C5, vol.4, pp.5-559, 1994.
URL : https://hal.archives-ouvertes.fr/jpa-00252796

A. Hirschberg, R. W. Van-de-laar, J. Marrou-maurières, A. P. Wijnands, J. H. Dane et al., A quasi-stationary model of air flow in the reed channel of single-reed woodwind instruments, Acustica, vol.70, pp.146-154, 1990.

G. C. Hofmans, G. Groot, M. Ranucci, G. Graziani, and &. A. Hirschberg, models of the glottis, The Journal of the Acoustical Society of America, vol.113, issue.3, pp.1658-1675, 2003.
DOI : 10.1121/1.1547459

G. C. Hofmans, M. Ranucci, G. Ajello, Y. Aurégan, and &. A. Hirschberg, Aeroacoustic response of a slit-shaped diaphragm in a pipe at low Helmholtz number, 2 : unsteady results Radiation of a pulsating portion of a sphere : Application to horn radiation, Journal of Sound and Vibration Acta Acustica united with Acustica, vol.244, issue.8913, pp.57-77, 2001.

O. Inácio and &. J. Antunes, A linearized modal analysis of the bowed string, Proceedings of the International Congress of Acoustics, 2007.

O. Inácio, L. Henrique, and &. J. Antunes, Simulation of the oscillation regimes of bowed bars: a non-linear modal approach, Communications in Nonlinear Science and Numerical Simulation, vol.8, issue.2, pp.77-95, 2003.
DOI : 10.1016/S1007-5704(02)00016-3

P. Jalali, M. Dabagh, and &. T. Tynjälä, Stability of flow and kinetic energy dissipation in 2D annular shear flows of inelastic hard disk assemblies, Journal of Physics : Second International Symposium on Instability and Bifurcations in Fluid Dynamics de Conference. IOP, 2007.
DOI : 10.1088/1742-6596/64/1/012019

S. Karkar, Bifurcation des régimes periodiques dans les systèmes dynamiques autooscillants : application aux instruments de musique, Thèse de doctorat, 2011.

D. H. Keefe, Acoustic streaming, dimensional analysis of nonlinearities, and tone hole mutual interactions in woodwinds, The Journal of the Acoustical Society of America, vol.73, issue.5, pp.1804-1820, 1983.
DOI : 10.1121/1.389404

J. Kergomard, Champ interne et champ externe des instruments à vent, Thèse de doctorat, 1981.

J. Kergomard, Tone hole external interactions in woodwinds musical instruments, 13th International Congress on Acoustics, pp.53-56, 1989.

J. Kergomard, Mechanics of Musical Instruments, CISM Courses and Lectures, pp.229-290, 1995.

J. Kergomard, V. Debut, and &. D. Matignon, Resonance modes in a one-dimensional medium with two purely resistive boundaries: Calculation methods, orthogonality, and completeness, The Journal of the Acoustical Society of America, vol.119, issue.3, pp.1356-1367, 2006.
DOI : 10.1121/1.2166709

J. Kergomard and &. J. Gilbert, Analyse de quelques aspects du rôle de l'anche d'un instrument à vent cylindrique, Actes du 5ème Congrès Français d'Acoustique, pp.294-297, 2000.

J. Kergomard, S. Ollivier, and &. J. Gilbert, Calculation of the Spectrum of Self-Sustained Oscillators Using a Variable Truncation Method : Application to Cylindrical Reed Instruments, Acta Acustica, vol.86, issue.4, pp.685-703, 2000.

G. Kerschen, J. Golinval, A. F. Vakakis, and &. L. Bergman, The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview, Nonlinear Dynamics, vol.16, issue.417???441, pp.41-141, 2005.
DOI : 10.1007/s11071-005-2803-2

G. Kirchhoff, Ueber den Einfluss der W??rmeleitung in einem Gase auf die Schallbewegung, Annalen der Physik und Chemie, vol.54, issue.6, pp.177-193, 1868.
DOI : 10.1002/andp.18682100602

F. Laloë and &. Taillard, Mesure par holographie des vibrations d'une anche de clarinette, 2009.

S. and L. Conte, Viscoélasticité du bois : application aux instruments de musique sous tension. Dans Actes de la journée d'étude Conserver aujourd'hui : les « vieillissements, 2007.

W. R. Lepage, Complex Variables and the Laplace Transform for the Engineers, 1980.

H. Levine and &. J. Schwinger, On the Radiation of Sound from an Unflanged Circular Pipe, Physical Review, vol.73, issue.4, pp.383-406, 1948.
DOI : 10.1103/PhysRev.73.383

I. M. Lindevald and &. J. Gower, Vibrational modes of clarinet reeds, The Journal of the Acoustical Society of America, vol.102, issue.5, 1997.
DOI : 10.1121/1.420211

I. Lopez, A. Hirschberg, A. Van-hirtum, N. Ruty, and &. X. Pelorson, Physical Modeling of Buzzing Artificial Lips : The Effect of Acoustical Feedback, Acta Acustica, vol.92, pp.1047-1059, 2006.

R. Macdonald and &. M. Campbell, The influence of mean flow on local non-linear effects at woodwind instrument toneholes, Proceedings of the International Symposium on Musical Acoustics, 2007.

C. Maganza, R. Caussé, and &. F. Laloë, Bifurcations, Period Doublings and Chaos in Clarinetlike Systems, Europhysics Letters (EPL), vol.1, issue.6, pp.295-302, 1986.
DOI : 10.1209/0295-5075/1/6/005

B. Mallaroni, P. Mattei, and &. J. Kergomard, Complex resonance frequencies of a finite, circular radiating duct with an infinite flange, Journal of the Acoustical Society of America, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00402870

E. Marandas, V. Gibiat, C. Besnainou, and &. N. Grand, Caract??risation m??canique des anches simples d'instruments ?? vent, Actes du 3ème Congrès Français d'Acoustique III de C5 Suppl, pp.633-636, 1994.
DOI : 10.1051/jp4:19945136

M. Marans, The next big thing, pp.98-118, 1994.

J. Martinez, J. Agulló, and &. S. Cardona, Conical bores. Part II: Multiconvolution, The Journal of the Acoustical Society of America, vol.84, issue.5, pp.1620-1627, 1988.
DOI : 10.1121/1.397176

P. Mattei, Multiple Resonances in Fluid-Loaded Vibrating Structures, Acta Acustica united with Acustica, vol.95, issue.2, 2008.
DOI : 10.3813/AAA.918154

URL : https://hal.archives-ouvertes.fr/hal-00345115

L. Maurin, Confrontation théorie expérience des grandeurs d' entrée d' un excitateur à anche simple, 1992.

A. Mayer, Riam (reed instrument artificial mouth) : a computer controlled excitation device for reed instruments, Proceedings of Stockholm Music Acoustics Conference, pp.279-282, 2003.

J. G. Mcdaniel, Applications of the causality condition to one-dimensional acoustic reflection problems, The Journal of the Acoustical Society of America, vol.105, issue.5, pp.2710-2716, 1999.
DOI : 10.1121/1.426888

C. S. Mcginnis and &. C. Gallagher, The Mode of Vibration of a Clarinet Reed, The Journal of the Acoustical Society of America, vol.12, issue.4, pp.529-531, 1941.
DOI : 10.1121/1.1916135

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

]. A. Miklós, J. Angster, S. Pitsch, and &. T. Rossing, Reed vibration in lingual organ pipes without the resonators, Thèse de doctorat, pp.1081-1091, 1987.
DOI : 10.1121/1.1534101

A. Miklós, J. Angster, S. Pitsch, and &. T. Rossing, Interaction of reed and resonator by sound generation in a reed organ pipe, The Journal of the Acoustical Society of America, vol.119, issue.5, pp.3121-3129, 2006.
DOI : 10.1121/1.2188372

J. Moussiegt, Oscillateurs ?? r??sistance n??gative et oscillateurs de relaxation, Journal de Physique et le Radium, vol.23, issue.12, pp.993-999, 1962.
DOI : 10.1051/jphysrad:019620023012099300

M. S. Mukai, Laryngeal movement while playing wind instruments, International Symposium on Musical Acoustics, pp.239-242, 1992.

C. J. Nederveen, Acoustical aspects of woodwind instruments, Northern Illinois, 1998.

I. Newton, Philosophiae naturalis Principia Mathematica, chap. Livre II, section VIII, J. Gabay, 1990.

G. Nief, F. Gautier, J. Dalmont, and &. J. Gilbert, Influence of wall vibrations on the behavior of a simplified wind instrument, The Journal of the Acoustical Society of America, vol.124, issue.2, pp.1320-1331, 2008.
DOI : 10.1121/1.2945157

URL : https://hal.archives-ouvertes.fr/hal-00331386

Y. Nomura, I. Yamamura, and &. S. Inawashiro, On the Acoustic Radiation from a Flanged Circular Pipe, Journal of the Physical Society of Japan, vol.15, issue.3, pp.510-517, 1960.
DOI : 10.1143/JPSJ.15.510

A. N. Norris and &. C. Sheng, Acoustic radiation from a circular pipe with an infinite flange, Journal of Sound and Vibration, vol.135, issue.1, pp.85-93, 1989.
DOI : 10.1016/0022-460X(89)90756-6

S. Ollivier, Contribution à l'étude des oscillations des instruments à vent à anche simple, Thèse de doctorat, 2002.

F. Otondo and &. J. , Directional representation of a clarinet in a room, Proceedings of the Nordic-Baltic Acoustical Meeting, pp.113-116, 2002.

J. Ozanam, Récréations mathématique et physique Acoustique et musique, Cl. Ant. Jombert, vol.2, pp.330-412, 1778.

M. C. Peters, A. Hirschberg, A. J. Reijnen, and &. A. Wijnands, Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers, Journal of Fluid Mechanics, vol.73, issue.-1, pp.499-534, 1993.
DOI : 10.1103/PhysRev.73.383

F. Pinard, B. Laine, and &. H. Vach, Musical quality assessment of clarinet reeds using optical holography, The Journal of the Acoustical Society of America, vol.113, issue.3, pp.1736-1742, 2003.
DOI : 10.1121/1.1543586

M. J. Powell, Numerical Methods for Nonlinear Algebraic Equations, chap. A Hybrid Method for Nonlinear Equations, pp.87-144, 1970.

R. L. Pratt, S. J. Elliott, and &. J. Bowsher, Comments on ??????Acoustic Impedance Measurement using sine excitation and known volume velocity technique?????? [J. Acoust. Soc. Am. 64, 995???1003 (1978)], The Journal of the Acoustical Society of America, vol.66, issue.3, pp.905-905, 1979.
DOI : 10.1121/1.383245

B. Ricaud, P. Guillemain, J. Kergomard, F. Silva, and &. C. Vergez, Behavior of Reed Woodwind Instruments Around The Oscillation Threshold, Acta Acustica united with Acustica, vol.95, issue.4, pp.733-743, 2009.
DOI : 10.3813/AAA.918201

URL : https://hal.archives-ouvertes.fr/hal-00355058

R. W. Rienstra, Impedance Models in Time Domain, Including the Extended Helmholtz Resonator Model, 12th AIAA/CEAS Aeroacoustics Conference (27th AIAA Aeroacoustics Conference), pp.2006-2686
DOI : 10.2514/6.2006-2686

J. Risset, La synthèse sonore, Ircam -Centre Georges-Pompidou, 1993.

C. Runge, Über empirische funktionen und die interpolation zwischen äquidistanten ordinaten, Zeitung der Math. und Phys, vol.46, pp.224-243, 1901.

N. Ruty, Modèles d'interactions fluide parois dans le conduit vocal. applications aux voies et aux pathologies, Thèse de doctorat, 2007.

J. Saneyoshi, H. Teramura, and &. S. Yoshikawa, Feedback oscillations in reed woodwind and brasswind instruments, Acustica, vol.62, pp.194-210, 1987.

G. P. Scavone, An acoustic analysis of single-reed woodwind instruments, with an emphasis on design and performance issues and digital waveguide modeling techniques, Thèse de doctorat, 1997.

G. P. Scavone and &. A. Da-silva, Frequency content of breath pressure and implications for use in control, NIME '05 : Proceedings of the 2005 conference on New interfaces for musical expression, pp.93-96, 2004.

G. P. Scavone, A. Lefebvre, and &. R. Da-silva, Measurement of vocal-tract influence during saxophone perfomance, Journal of the Acoustical Society of America, 2008.

P. Schaeffer, Traité des objets musicaux, chap. Seuils et transitoires, pp.198-215, 1966.

R. T. Schumacher, calculations of the oscillations of a clarinet, The Journal of the Acoustical Society of America, vol.65, issue.S1, pp.71-85, 1981.
DOI : 10.1121/1.2017413

A. Selamet, Z. L. Ji, and &. R. Kach, Wave reflections from duct terminations, The Journal of the Acoustical Society of America, vol.109, issue.4, pp.1304-1311, 2001.
DOI : 10.1121/1.1348298

F. Silva, P. Guillemain, J. Kergomard, B. Mallaroni, and &. A. Norris, Approximation formulae for the acoustic radiation impedance of a cylindrical pipe, Journal of Sound and Vibration, vol.322, issue.1-2, pp.255-263, 2008.
DOI : 10.1016/j.jsv.2008.11.008

URL : https://hal.archives-ouvertes.fr/hal-00226659

F. Silva, J. Kergomard, C. Vergez, and &. J. Gilbert, Interaction of reed and acoustic resonator in clarinetlike systems, The Journal of the Acoustical Society of America, vol.124, issue.5, pp.3284-3295, 2008.
DOI : 10.1121/1.2988280

URL : https://hal.archives-ouvertes.fr/hal-00197147

J. O. Smith, Physical Modeling Using Digital Waveguides, Computer Music Journal, vol.16, issue.4, pp.74-91, 1992.
DOI : 10.2307/3680470

T. Smyth, J. Abel, and &. J. Smith, Feathering collisions in beating reed simulation, The Journal of the Acoustical Society of America, vol.114, issue.4, p.2325, 2003.
DOI : 10.1121/1.4781002

I. Steinecke and &. H. Herzel, Bifurcations in an asymmetric vocal???fold model, The Journal of the Acoustical Society of America, vol.97, issue.3, pp.1874-1884, 1995.
DOI : 10.1121/1.412061

S. E. Stewart and &. W. Strong, Functional model of a simplified clarinet, The Journal of the Acoustical Society of America, vol.68, issue.1, pp.109-120, 1980.
DOI : 10.1121/1.384635

J. Sundberg, Synthesizing singing De Poli, A. Piccialli & C. Roads, réds., Representations of Musical Signals, pp.299-320, 1991.

A. Z. Tarnopolsky, N. H. Fletcher, and &. J. Lai, Oscillating reed valves???An experimental study, The Journal of the Acoustical Society of America, vol.108, issue.1, pp.400-406, 2000.
DOI : 10.1121/1.429473

B. Taylor, Methodum Incrementorum directa & inversa, Impensis Gulielmi Innys, p.1715

S. Thompson and &. F. Shampine, A friendly Fortran DDE solver, Applied Numerical Mathematics, vol.56, issue.3-4, pp.503-516, 2006.
DOI : 10.1016/j.apnum.2005.04.027

S. C. Thompson, Reed resonance effects on woodwind nonlinear feedback oscillations, Thèse de doctorat, 1978.

S. C. Thompson, The effect of the reed resonance on woodwind tone production, The Journal of the Acoustical Society of America, vol.66, issue.5, pp.1299-1307, 1979.
DOI : 10.1121/1.383448

V. Valimaki, Physics-based modeling of musical instruments, Acta Acustica united with Acustica, vol.90, pp.611-617, 2004.

A. M. Valkering, Characterization of a clarinet mouthpiece, 1993.

M. Van-walstijn and &. F. Avanzini, Modelling the mechanical response of the reedmouthpiece-lip system of a clarinet. part II : A lumped model approximation, Acta Acustica united with Acustica, vol.93, issue.12, pp.435-446, 2007.

M. Van-walstijn and &. M. Campbell, Discrete-time modeling of woodwind instrument bores using wave variables, The Journal of the Acoustical Society of America, vol.113, issue.1, pp.575-585, 2003.
DOI : 10.1121/1.1515776

J. Van-zon, Stromingsgeinduceerde klepinstabiliteiten, 1989.

J. Van-zon, A. Hirschberg, J. Gilbert, and &. P. Wijnands, FLOW THROUGH THE REED CHANNEL OF A SINGLE REED MUSIC INSTRUMENT, Le Journal de Physique Colloques, vol.51, issue.C2, pp.2-821, 1990.
DOI : 10.1051/jphyscol:19902190

URL : https://hal.archives-ouvertes.fr/jpa-00230506

C. Vergez, Trompette et trompettiste :un système dynamique non linéiare à analyser, modéliser et simuler dans un contexte musical, Thèse de doctorat, 2000.

B. Vial, Réduction de modèle de clarinette : approche par modes propres orthogonaux, 2009.

H. Helmholtz, Theorie der luftschwingungen in röhren mit offenen enden, Journal für die reine und angewandte Mathematik, pp.1-72, 1860.

H. Helmholtz, On the theory of pipes, chap. App. VII, p. 5388, 1954.

R. Vích, Mathematics and its applications, Z Transform theory and applications, issue.4, pp.106-154, 1987.

W. Weber, Theorie der zungenpfeifen Annalen der Physik und Chemie, hrsg, pp.193-246, 1828.

T. Wilson, The measured vocal tract impedance for clarinet performance and its role in sound production., The Journal of the Acoustical Society of America, vol.99, issue.4, pp.2455-2456, 1996.
DOI : 10.1121/1.415472

T. A. Wilson and &. S. Beavers, Operating modes of the clarinet, The Journal of the Acoustical Society of America, vol.56, issue.2, pp.653-658, 1974.
DOI : 10.1121/1.1903304

W. E. Worman, Self-sustained nonlinear oscillations of medium amplitude in clarinetlike systems, Thèse de doctorat, 1971.

W. E. Zorumski, Generalized radiation impedances and reflection coefficients of circular and annular ducts, The Journal of the Acoustical Society of America, vol.54, issue.6, pp.1667-1673, 1973.
DOI : 10.1121/1.1914466

G. Zwikker and &. C. Kosten, Sound absorbing materials, 1949.