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All issues Volume 5 (2021) Acta Acust., 5 (2021) 33 References
Open Access
Issue
Acta Acust.
Volume 5, 2021
Article Number 33
Number of page(s) 16
Section Musical Acoustics
DOI https://doi.org/10.1051/aacus/2021026
Published online 09 August 2021
  1. J. Backus: Vibrations of the reed and the air column in the clarinet. The Journal of the Acoustical Society of America 33 (1961) 806–809. [CrossRef] [Google Scholar]
  2. J.-P. Dalmont, B. Gazengel, J. Gilbert, J. Kergomard: Some aspects of tuning and clean intonation in reed instruments. Applied Acoustics 46 (1995) 19–60. [CrossRef] [Google Scholar]
  3. C. McGinnis, C. Gallagher: The mode of vibration of a clarinet reed. The Journal of the Acoustical Society of America 12 (1941) 529–531. [CrossRef] [Google Scholar]
  4. T.A. Wilson, G.S. Beavers: Operating modes of the clarinet. The Journal of the Acoustical Society of America 56 (1974) 653–658. [CrossRef] [Google Scholar]
  5. A.Y. Gokhshtein: Self-vibration of finite amplitude in a tube with a reed, in Soviet Physics Doklady, MAIK Nauka/Interperiodica and Springer Science+Business Media (Russia). 1979, Vol. 24, p. 739. [Google Scholar]
  6. T. Helie, N. Lopes, R. Causse: Open-loop control of a robotized artificial mouth for brass instruments. The Journal of the Acoustical Society of America 131 (2012) 3470–3470. [CrossRef] [Google Scholar]
  7. N. Lopes, T. Hélie, R. Caussé: Control of an artificial mouth playing a trombone and analysis of sound descriptors on experimental data, in Proceedings of the Stockholm Music Acoustics Conference 2013, July 30–August 3, 2013, Stockholm, Sweden. https://hal.archives-ouvertes.fr/hal-01245388/document, 2013. [Google Scholar]
  8. J.-B. Doc, C. Vergez: Oscillation regimes produced by an alto saxophone: Influence of the control parameters and the bore inharmonicity. The Journal of the Acoustical Society of America 137 (2015) 1756–1765. [CrossRef] [Google Scholar]
  9. J. Gilbert, S. Maugeais, C. Vergez: From the bifurcation diagrams to the ease of playing of reed musical instruments. A theoretical illustration of the bouasse-benade prescription? in Proceedings of the International Symposium on Musical Acoustics, September 13–17, 2019, Detmold, Germany. http://pub.dega-akustik.de/ISMA2019/data/articles/000057.pdf, 2019. [Google Scholar]
  10. V. Fréour, H. Masuda, S. Usa, E. Tominaga, Y. Tohgi, B. Cochelin, C. Vergez: Numerical analysis and comparison of brass instruments by continuation, in Proceedings of the International Symposium on Musical Acoustics, September 13–17, 2019, Detmold, Germany. http://pub.dega-akustik.de/ISMA2019/data/articles/000015.pdf, 2019. [Google Scholar]
  11. R. Tournemenne, J.-F. Petiot, B. Talgorn, M. Kokkolaras, J. Gilbert: Brass instruments design using physics-based sound simulation models and surrogate-assisted derivative-free optimization. Journal of Mechanical Design 139 (2017) 041401. [CrossRef] [Google Scholar]
  12. S.N. Rasband: Chaotic dynamics of nonlinear systems. Courier Dover Publications, 2015. [Google Scholar]
  13. R. Seydel: Practical bifurcation and stability analysis, Vol. 5. Springer Science & Business Media, 2009. [Google Scholar]
  14. I.R. Manchester, M.M. Tobenkin, M. Levashov, R. Tedrake: Regions of attraction for hybrid limit cycles of walking robots. IFAC Proceedings Volumes 44 (2011) 5801–5806. [CrossRef] [Google Scholar]
  15. A. Schwab, M. Wisse: Basin of attraction of the simplest walking model, in Proceedings of the ASME Design Engineering Technical Conference, Vol. 6. 2001, pp. 531–539. [Google Scholar]
  16. M. Wisse, A.L. Schwab, F.C. van der Helm: Passive dynamic walking model with upper body. Robotica 22 (2004) 681–688. [CrossRef] [Google Scholar]
  17. M. Wisse, A.L. Schwab, R.Q. van der Linde, F.C. van der Helm: How to keep from falling forward: Elementary swing leg action for passive dynamic walkers. IEEE Transactions on Robotics 21 (2005) 393–401. [CrossRef] [Google Scholar]
  18. T. Matsumoto: A chaotic attractor from chua’s circuit. IEEE Transactions on Circuits and Systems 31 (1984) 1055–1058. [CrossRef] [Google Scholar]
  19. G. Pegna, R. Marrocu, R. Tonelli, F. Meloni, G. Santoboni: Experimental definition of the basin of attraction for chua’s circuit. International Journal of Bifurcation and Chaos 10 (2000) 959–970. [CrossRef] [Google Scholar]
  20. N.V. Stankevich, N.V. Kuznetsov, G.A. Leonov, L.O. Chua: Scenario of the birth of hidden attractors in the chua circuit. International Journal of Bifurcation and Chaos 27 (2017) 1730038. [CrossRef] [Google Scholar]
  21. T. Idogawa, T. Kobata, K. Komuro, M. Iwaki: Nonlinear vibrations in the air column of a clarinet artificially blown. The Journal of the Acoustical Society of America 93 (1993) 540–551. [CrossRef] [Google Scholar]
  22. K. Takahashi, H. Kodama, A. Nakajima, T. Tachibana: Numerical study on multi-stable oscillations of woodwind single-reed instruments. Acta Acustica United with Acustica 95 (2009) 1123–1139. [CrossRef] [Google Scholar]
  23. S. Terrien, C. Vergez, B. Fabre: Flute-like musical instruments: A toy model investigated through numerical continuation. Journal of Sound and Vibration 332 (2013) 3833–3848. [CrossRef] [Google Scholar]
  24. S. Brezetskyi, D. Dudkowski, T. Kapitaniak: Rare and hidden attractors in van der pol-duffing oscillators. The European Physical Journal Special Topics 224 (2015) 1459–1467. [CrossRef] [EDP Sciences] [Google Scholar]
  25. L. Wang, W. Lu, T. Chen: Multistability and new attraction basins of almost-periodic solutions of delayed neural networks. IEEE Transactions on Neural Networks 20 (2009) 1581–1593. [Google Scholar]
  26. W.L. Coyle, P. Guillemain, J. Kergomard, J.-P. Dalmont: Predicting playing frequencies for clarinets: A comparison between numerical simulations and simplified analytical formulas. The Journal of the Acoustical Society of America 138 (2015) 2770–2781. [Google Scholar]
  27. E. Petersen, P. Guillemain, J. Kergomard, T. Colinot: The effect of the cutoff frequency on the sound production of a clarinet-like instrument. The Journal of the Acoustical Society of America 145 (2019) 3784–3794. [Google Scholar]
  28. A. Guilloteau, P. Guillemain, J. Kergomard, M. Jousserand: The effect of the size of the opening on the acoustic power radiated by a reed woodwind instrument. Journal of Sound and Vibration 343 (2015) 166–175. [Google Scholar]
  29. T. Colinot, L. Guillot, C. Vergez, P. Guillemain, J.-B. Doc, B. Cochelin: Influence of the “ghost reed” simplification of the bifurcation diagram of a saxophone model. Acta Acustica United with Acustica 105 (2019) 1291–1294. [Google Scholar]
  30. A. Hirschberg, J. Kergomard, G. Weinreich: Mechanics of musical instruments, Chapter 6 (J. Kergomard): Elementary considerations on reed-instrument oscillations. CISM Courses and Lectures 355 (1995) 229–290. [Google Scholar]
  31. A. Muñoz Arancón, B. Gazengel, J.-P. Dalmont, E. Conan: Estimation of saxophone reed parameters during playing. The Journal of the Acoustical Society of America 139 (2016) 2754–2765. [Google Scholar]
  32. V. Chatziioannou, M. van Walstijn: Estimation of clarinet reed parameters by inverse modelling. Acta Acustica United with Acustica 98 (2012) 629–639. [Google Scholar]
  33. S. Bilbao, A. Torin, V. Chatziioannou: Numerical modeling of collisions in musical instruments. Acta Acustica United with Acustica 101 (2015) 155–173. [Google Scholar]
  34. J. Backus: Small-vibration theory of the clarinet. The Journal of the Acoustical Society of America 35 (1963) 305–313. [Google Scholar]
  35. A. Hirschberg, R. Van de Laar, J. Marrou-Maurieres, A. Wijnands, H. Dane, S. Kruijswijk, A. Houtsma: A quasi-stationary model of air flow in the reed channel of single-reed woodwind instruments. Acta Acustica United with Acustica 70 (1990) 146–154. [Google Scholar]
  36. J.-P. Dalmont, J. Gilbert, S. Ollivier: Nonlinear characteristics of single-reed instruments: Quasistatic volume flow and reed opening measurements. The Journal of the Acoustical Society of America 114 (2003) 2253–2262. [Google Scholar]
  37. J.-P. Dalmont, J.C. Le Roux: A new impedance sensor for wind instruments. The Journal of the Acoustical Society of America 123 (2008) 3014. [Google Scholar]
  38. A. Chaigne, J. Kergomard: Acoustique des instruments de musique (Acoustics of musical instruments). Belin, 2008. [Google Scholar]
  39. J. Kergomard, P. Guillemain, F. Silva, S. Karkar: Idealized digital models for conical reed instruments, with focus on the internal pressure waveform. The Journal of the Acoustical Society of America 139 (2016) 927–937. [Google Scholar]
  40. F. Silva, C. Vergez, P. Guillemain, J. Kergomard, V. Debut: Moreesc: A framework for the simulation and analysis of sound production in reed and brass instruments. Acta Acustica United with Acustica 100 (2014) 126–138. [Google Scholar]
  41. P. Guillemain, J. Kergomard, T. Voinier: Real-time synthesis of clarinet-like instruments using digital impedance models. The Journal of the Acoustical Society of America 118 (2005) 483–494. [Google Scholar]
  42. T. Colinot: Numerical simulation of woodwind dynamics: Investigating nonlinear sound production behavior in saxophone-like instruments. PhD thesis, Aix-Marseille Université, 2020. [Google Scholar]
  43. J.-B. Doc, C. Vergez, S. Missoum: A minimal model of a single-reed instrument producing quasi-periodic sounds. Acta Acustica United with Acustica 100 (2014) 543–554. [Google Scholar]
  44. J. Gilbert, J. Kergomard, E. Ngoya: Calculation of the steady-state oscillations of a clarinet using the harmonic balance technique. The Journal of the Acoustical Society of America 86 (1989) 35–41. [Google Scholar]
  45. N.M. Krylov, N.N. Bogoliubov: Introduction to non-linear mechanics. Princeton University Press, 1949. [Google Scholar]
  46. M. Nakhla, J. Vlach: A piecewise harmonic balance technique for determination of periodic response of nonlinear systems. IEEE Transactions on Circuits and Systems 23 (1976) 85–91. [Google Scholar]
  47. B. Cochelin, C. Vergez: A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions. Journal of Sound and Vibration 324 (2009) 243–262. [Google Scholar]
  48. L. Guillot, B. Cochelin, C. Vergez: A Taylor series-based continuation method for solutions of dynamical systems. Nonlinear Dynamics 98 (2019) 2827–2845. [Google Scholar]
  49. B. Bentvelsen, A. Lazarus: Modal and stability analysis of structures in periodic elastic states: Application to the Ziegler column. Nonlinear Dynamics 91 (2018) 1349–1370. [Google Scholar]
  50. L. Guillot, A. Lazarus, O. Thomas, C. Vergez, B. Cochelin: A purely frequency based floquet-hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems. Journal of Computational Physics 416 (2020) 109477. [Google Scholar]
  51. A. Lazarus, O. Thomas: A harmonic-based method for computing the stability of periodic solutions of dynamical systems. Comptes Rendus Mécanique 338 (2010) 510–517. [Google Scholar]
  52. T. Colinot, P. Guillemain, C. Vergez, J.-B. Doc, P. Sanchez: Multiple two-step oscillation regimes produced by the alto saxophone. The Journal of the Acoustical Society of America 147 (2020) 2406–2413. [Google Scholar]
  53. W. Beyn, A. Champneys, E. Doedel, W. Govarets, U. Kuznetsov, A. Yu, B. Sandstede: Handbook of Dynamical Systems (Vol 2), Chapter Numerical Continuation, and Computation of Normal Forms. Elsevier, 2002. [Google Scholar]
  54. Y.A. Kuznetsov: Elements of applied bifurcation theory, Vol. 112. Springer Science & Business Media, 2013. [Google Scholar]
  55. B. Bergeot, A. Almeida, C. Vergez, B. Gazengel: Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure. Nonlinear Dynamics 73 (2013) 521–534. [Google Scholar]
  56. F. Silva: Émergence des auto-oscillations dans un instrument de musique à anche simple. PhD thesis, Aix-Marseille Université, 2009. [Google Scholar]
  57. P. Guillemain, C. Vergez, D. Ferrand, A. Farcy: An instrumented saxophone mouthpiece and its use to understand how an experienced musician plays. Acta Acustica United with Acustica 96 (2010) 622–634. [Google Scholar]
  58. A.H. Benade: Fundamentals of musical acoustics. Courier Corporation, 1990. [Google Scholar]
  59. A.H. Benade, D. Gans: Sound production in wind instruments. Annals of the New York Academy of Sciences 155 (1968) 247–263. [Google Scholar]
  60. H. Bouasse: Instruments à vent. Impr. Delagrave, 1929. [Google Scholar]
  61. D.M. Campbell, J. Gilbert, A. Myers: The Science of Brass Instruments. Springer, 2020. [Google Scholar]
  62. J.-M. Chen, J. Smith, J. Wolfe: Saxophone acoustics: Introducing a compendium of impedance and sound spectra. Acoustics Australia 37 (2009) 18–23. [Google Scholar]

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