Study of woodwind-like systems through nonlinear differential equations. Part II. Real geometry

Journal of the Acoustical Society of America

Volumn 102, Issue 5 I, 1997, Pages 3032-3037

  Barjau, Ana ^a   Gibiat, Vincent ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b INSTITUT LANGEVIN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; GEOMETRY; MATHEMATICAL ANALYSIS; NONLINEAR SYSTEM; PRIORITY JOURNAL;

EID: 0030720040     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.420358     Document Type: Article

References (10)

1. Agulló, J., and Barjau, A. (1986). "The reflection function r(t): a matrix approach versus FTT," J. Sound Vib. 106(2), 193-201.
2. Barjau, A. (1987). "Contribucio a l'estudi de l'acüstica dels instruments de canya de la cobla," Doctoral thesis. University of Barcelona.
3. Barjau, A., Cardona, S., and Jordi, L. (1990). "Fast simulation of the internal pressure in a double-reed woodwind," Coll. Mod. Phys. (Grenoble) 13, 161-178.
4. Barjau, A., Gibiat, V., and Grand, N. (1997). "Study of woodwind-like systems through nonlinear differential equations. Part I. Simple geometry," J. Acoust. Soc. Am. 102, 3023-3031.
5. Benade, A. H. (1976). Fundamentals of Musical Acoustics (Oxford U.P., New York), see Chap. 21.
6. Gibiat, V. (1988). "Phase space representations of acoustical musical signals," J. Sound Vib. 123, 529-536.
7. Grand, N. (1994). "Etude du seuil d'oscillation des systèmes acoustiques non-linéaires de type instrument à vent," Doctoral thesis, University of Paris VII.
8. Mclntyre, M., Schumacher, R., and Woodhouse, J. (1983). "On the oscillations of musical instruments," J. Acoust. Soc. Am. 74, 1325-1345.
9. Manneville, P. (1990). Dissipative Structures and Weak Turbulence (Academic, New York).
10. Worman, W. E. (1971). "Self-sustained non-linear oscillations of medium amplitude in clarinetlike systems," Ph.D. dissertation, Dept. of Physics, Case Western Reserve University, Cleveland, OH.