Source-tract coupling in birdsong production
Birdsong is a complex phenomenon, generated by a nonlinear vocal device capable of displaying complex solutions even under simple physiological motor commands. Among the peripheral physical mechanisms responsible for the generation of complex sounds in songbirds, the understanding of the dynamics em...
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2009
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n6_p_Arneodo http://hdl.handle.net/20.500.12110/paper_15393755_v79_n6_p_Arneodo |
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paper:paper_15393755_v79_n6_p_Arneodo2023-06-08T16:20:41Z Source-tract coupling in birdsong production Arneodo, Ezequiel Matías 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 Differential equations Acoustic generators Birdsong is a complex phenomenon, generated by a nonlinear vocal device capable of displaying complex solutions even under simple physiological motor commands. Among the peripheral physical mechanisms responsible for the generation of complex sounds in songbirds, the understanding of the dynamics emerging from the interaction between the sound source and the upper vocal tract remains most elusive. In this work we study a highly dissipative limit of a simple sound source model interacting with a tract, mathematically described in terms of a delay differential equation. We explore the system numerically and, by means of reducing the problem to a phase equation, we are capable of studying its periodic solutions. Close in parameter space to the point where the resonances of the tract match the frequencies of the uncoupled source solutions, we find coexistence of periodic limit cycles. This hysteresis phenomenon allows us to interpret recently reported features found in the vocalization of some songbirds, in particular, "frequency jumps." © 2009 The American Physical Society. Fil:Arneodo, E.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n6_p_Arneodo http://hdl.handle.net/20.500.12110/paper_15393755_v79_n6_p_Arneodo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 Differential equations Acoustic generators |
| spellingShingle |
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 Differential equations Acoustic generators Arneodo, Ezequiel Matías Source-tract coupling in birdsong production |
| topic_facet |
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 Differential equations Acoustic generators |
| description |
Birdsong is a complex phenomenon, generated by a nonlinear vocal device capable of displaying complex solutions even under simple physiological motor commands. Among the peripheral physical mechanisms responsible for the generation of complex sounds in songbirds, the understanding of the dynamics emerging from the interaction between the sound source and the upper vocal tract remains most elusive. In this work we study a highly dissipative limit of a simple sound source model interacting with a tract, mathematically described in terms of a delay differential equation. We explore the system numerically and, by means of reducing the problem to a phase equation, we are capable of studying its periodic solutions. Close in parameter space to the point where the resonances of the tract match the frequencies of the uncoupled source solutions, we find coexistence of periodic limit cycles. This hysteresis phenomenon allows us to interpret recently reported features found in the vocalization of some songbirds, in particular, "frequency jumps." © 2009 The American Physical Society. |
| author |
Arneodo, Ezequiel Matías |
| author_facet |
Arneodo, Ezequiel Matías |
| author_sort |
Arneodo, Ezequiel Matías |
| title |
Source-tract coupling in birdsong production |
| title_short |
Source-tract coupling in birdsong production |
| title_full |
Source-tract coupling in birdsong production |
| title_fullStr |
Source-tract coupling in birdsong production |
| title_full_unstemmed |
Source-tract coupling in birdsong production |
| title_sort |
source-tract coupling in birdsong production |
| publishDate |
2009 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n6_p_Arneodo http://hdl.handle.net/20.500.12110/paper_15393755_v79_n6_p_Arneodo |
| work_keys_str_mv |
AT arneodoezequielmatias sourcetractcouplinginbirdsongproduction |
| _version_ |
1768545709865304064 |