EMERGENCE OF QUASIPERIODIC REGIMES IN A NEUTRAL DELAY MODEL OF FLUTE-LIKE INSTRUMENTS: INFLUENCE OF THE DETUNING BETWEEN RESONANCE FREQUENCIES

Simple item page
dc.contributor.authorTerrien, Soizic
dc.contributor.authorVergez, Christophe
dc.contributor.authorFabre, Benoit
dc.contributor.authorde la Cuadra, Patricio
dc.date.accessioned2025-01-20T21:08:08Z
dc.date.available2025-01-20T21:08:08Z
dc.date.issued2022
dc.description.abstractMusical instruments display a wealth of dynamics, from equilibria (where no sound is produced) to a wide diversity of periodic and non-periodic sound regimes. We focus here on two types of flute-like instruments, namely a recorder and a pre-hispanic Chilean flute. A recent experimental study showed that they both produce quasiperiodic sound regimes which are avoided or played on purpose depending on the instrument. We investigate the generic model of sound production in flute-like musical instruments, a system of neutral delay-differential equations. Using time-domain simulations, we show that it produces stable quasiperiodic oscillations in good agreement with experimental observations. A numerical bifurcation analysis is performed, where both the delay time (related to a control parameter) and the detuning between the resonance frequencies of the instrument - a key parameter for instrument makers - are considered as bifurcation parameters. This demonstrates that the large detuning that is characteristic of prehispanic Chilean flutes plays a crucial role in the emergence of stable quasiperiodic oscillations.
dc.description.funderANID through FONDECYT Project
dc.fuente.origenWOS
dc.identifier.doi10.3934/jcd.2022011
dc.identifier.eissn2158-2505
dc.identifier.issn2158-2491
dc.identifier.urihttps://doi.org/10.3934/jcd.2022011
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93459
dc.identifier.wosidWOS:000791410400001
dc.issue.numero3
dc.language.isoen
dc.pagina.final482
dc.pagina.inicio465
dc.revistaJournal of computational dynamics
dc.rightsacceso restringido
dc.subjectMusical acoustics
dc.subjectneutral delay differential equations
dc.subjectbifurcation analysis
dc.subjectnumerical continuation
dc.subjectquasiperiodicity
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleEMERGENCE OF QUASIPERIODIC REGIMES IN A NEUTRAL DELAY MODEL OF FLUTE-LIKE INSTRUMENTS: INFLUENCE OF THE DETUNING BETWEEN RESONANCE FREQUENCIES
dc.typeartículo
dc.volumen9
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas