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Volumn 79, Issue 6, 2009, Pages

Source-tract coupling in birdsong production

Author keywords

[No Author keywords available]

Indexed keywords

CLOSE-IN; COMPLEX SOLUTION; COMPLEX SOUNDS; DELAY DIFFERENTIAL EQUATIONS; HYSTERESIS PHENOMENON; LIMIT CYCLE; MOTOR COMMANDS; PARAMETER SPACES; PERIODIC SOLUTION; PHASE EQUATION; PHYSICAL MECHANISM; SOUND SOURCE; VOCAL-TRACT;

EID: 67650119157     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.061921     Document Type: Article
Times cited : (21)

References (28)
  • 1
    • 40149103770 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, Massachusetts
    • P. Zeigler and P. Marler, Neuroscience of Birdsong (Cambridge University Press, Cambridge, Massachusetts, 2004).
    • (2004) Neuroscience of Birdsong
    • Zeigler, P.1    Marler, P.2
  • 8
    • 43549113834 scopus 로고    scopus 로고
    • 10.1121/1.2832337
    • I. R. Titze, J. Acoust. Soc. Am. 123, 2733 (2008). 10.1121/1.2832337
    • (2008) J. Acoust. Soc. Am. , vol.123 , pp. 2733
    • Titze, I.R.1
  • 14
    • 50149098165 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.78.026209
    • T. Erneux and J. Grasman, Phys. Rev. E 78, 026209 (2008). 10.1103/PhysRevE.78.026209
    • (2008) Phys. Rev. e , vol.78 , pp. 026209
    • Erneux, T.1    Grasman, J.2
  • 18
    • 67650137562 scopus 로고    scopus 로고
    • This expression is valid as long as the period of the flow fluctuations at the sound source is large compared to the time it would take a density perturbation to span the transversal area of the tube connected to the tube, which can be approximated by Ai /c, where c stands for sound speed. For flow fluctuations of the order of the KHz, and transversal areas in the millimeters, this condition is satisfied.
    • This expression is valid as long as the period of the flow fluctuations at the sound source is large compared to the time it would take a density perturbation to span the transversal area of the tube connected to the tube, which can be approximated by Ai /c, where c stands for sound speed. For flow fluctuations of the order of the KHz, and transversal areas in the millimeters, this condition is satisfied.
  • 21
    • 67650143718 scopus 로고    scopus 로고
    • A monotonically decreasing r=r (L) can be used to account for losses of the sound waves in the tube, which are neglected in this work.
    • A monotonically decreasing r=r (L) can be used to account for losses of the sound waves in the tube, which are neglected in this work.
  • 25
    • 67650166583 scopus 로고    scopus 로고
    • The right-hand side of Eq. 5 is a first-order approximation of Eq. 2 for r<1. That is, the first term in the rightmost part of Pi (t) =α Psub x-r Pi (t-T) □a Psub [x (t) -rx (t-T)] + r2 Pi (t-2T) □a. In Eq. 5, we also name δ=α Psub.
    • The right-hand side of Eq. 5 is a first-order approximation of Eq. 2 for r<1. That is, the first term in the rightmost part of Pi (t) =α Psub x-r Pi (t-T) □aα Psub [x (t) -rx (t-T)] + r2 Pi (t-2T) +□a. In Eq. 5, we also name δ=α Psub.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.