Browsing by Author "Vergez, Christophe"

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    EMERGENCE OF QUASIPERIODIC REGIMES IN A NEUTRAL DELAY MODEL OF FLUTE-LIKE INSTRUMENTS: INFLUENCE OF THE DETUNING BETWEEN RESONANCE FREQUENCIES
    (2022) Terrien, Soizic; Vergez, Christophe; Fabre, Benoit; de la Cuadra, Patricio
    Musical 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.
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    Experimental analysis of non-periodic sound regimes in flute-like musical instruments
    (2021) Terrien, Soizic; Vergez, Christophe; de la Cuadra, Patricio; Fabre, Benoit
    Self-sustained musical instruments are complex nonlinear dynamical systems that are known to produce a wealth of dynamical regimes. This includes different kinds of non-periodic sounds, which are either played on purpose or avoided depending on the cultural and musical context. We investigate non-periodic sounds produced by two types of flute-like instruments, namely, an alto recorder and traditional pan-like flutes from Central Chile. We adopt a nonlinear dynamics point of view to characterize the multiphonics produced by the alto recorder and the sonidos rajados produced by the Chilean flutes. Our results unveil the common quasiperiodic nature of the two types of sound regimes and suggest that they result from a similar physical sound production mechanism. This paves the way for a better control of non-periodic sound regimes by the instrument makers.