V. Debut and J. Kergomard, Analysis of the self-sustained oscillations of a clarinet as a van der pol oscillator, 18th International Congress on Acoustics-ICA, pp.1425-1428, 2004.

J. P. 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

P. Taillard, J. Kergomard, and F. Laloë, Iterated maps for clarinet-like systems, Nonlinear Dynamics, vol.43, issue.1-2, pp.253-271, 2010.
DOI : 10.1007/s11071-010-9715-5
URL : https://hal.archives-ouvertes.fr/hal-00589493

J. Kergomard, S. Ollivier, and J. Gilbert, Calculation of the spectrum of self-sustained oscillators using a variable troncation method, Acta. Acust. Acust, vol.86, pp.665-703, 2000.

J. P. Dalmont and C. Frappe, 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

A. Chaigne and J. Kergomard, Instruments à anche (reed instruments) , in Acoustique des instruments de musique (Acoustics of musical instruments), chapter 9, Belin), pp.400-468, 2008.

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. Gazengel and J. P. Dalmont, Mechanical response characterization of saxophone reeds, 6th Forum Acusticum, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00607928

M. Atig, J. P. 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

B. Bergeot, C. Vergez, A. Almeida, and B. Gazengel, Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure, URL http, pp.521-534, 2013.
DOI : 10.1007/s11071-013-0806-y
URL : https://hal.archives-ouvertes.fr/hal-00719228

A. Fruchard and R. Schäfke, Sur le retard à la bifurcation (on the bifurcation delay), Arima, vol.9, pp.431-468, 2008.

F. Silva, P. Guillemain, J. Kergomard, C. Vergez, and V. Debut, Some simulations of the effect of varying excitation parameters on the transients of reed instruments, URL http, pp.2013-2014
URL : https://hal.archives-ouvertes.fr/hal-01309177

D. Ferrand and C. Vergez, Blowing machine for wind musical instrument : toward a real-time control of the blowing pressure, 2008 16th Mediterranean Conference on Control and Automation, pp.1562-1567, 2008.
DOI : 10.1109/MED.2008.4602060

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

C. J. Nederveen, Acoustical aspects of woodwind instruments (Northern Illinois University Press, Illinois), pp.28-35, 1998.

D. H. Keefe, Acoustical wave propagation in cylindrical ducts: Transmission line parameter approximations for isothermal and nonisothermal boundary conditions, The Journal of the Acoustical Society of America, vol.75, issue.1, pp.58-62, 1984.
DOI : 10.1121/1.390300

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

J. Kergomard, Elementary considerations on reedinstrument oscillations, CISM Courses and lectures, vol.335, issue.6, pp.229-290, 1995.

J. Kergomard, J. P. Dalmont, J. Gilbert, and P. Guillemain, Period doubling on cylindrical reed instruments, Proceeding of the Joint congress CFA/DAGA 04, pp.113-114, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00088485

S. Ollivier, J. P. Dalmont, and J. Kergomard, Idealized models of reed woodwinds. part 2 : On the stability of twostep oscillations, Acta. Acust. united Ac, vol.91, pp.166-179, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00088228

J. P. 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

]. 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

K. Jensen, Enveloppe model of isolated musical sounds, Proceedings of the 2nd COST G-6 Workshop on Digital Audio Effects (DAFx99), NTNU, 1999.

B. Bergeot, C. Vergez, A. Almeida, and B. Gazengel, Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: influence of noise, URL http, pp.591-605, 2013.
DOI : 10.1007/s11071-013-0991-8
URL : https://hal.archives-ouvertes.fr/hal-00809293

D. Ferrand, C. Vergez, and F. Silva, Seuils d'oscillation de la clarinette : validité de la représentation excitateurrésonateur (oscillation thresholds of the clarinet: validity of the resonator-exciter representation), 10ème Congrès Français d'Acoustique, 2010.

A. Fruchard and R. Schäfke, Bifurcation delay and difference equations, Nonlinearity, vol.16, issue.6, pp.2199-2220, 2003.
DOI : 10.1088/0951-7715/16/6/318
URL : https://hal.archives-ouvertes.fr/hal-00144872

J. R. Tredicce, G. Lippi, P. Mandel, B. Charasse, A. Chevalier et al., Critical slowing down at a bifurcation, American Journal of Physics, vol.72, issue.6, pp.799-809, 2004.
DOI : 10.1119/1.1688783
URL : https://hal.archives-ouvertes.fr/hal-00014998