Figure 10

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Typical bifurcation diagrams (left) and time-domain simulations (right) in the case of the euphonium’s first regime, obtained for pm = 1.8 kPa and (PedalNote) = 49 Hz. Left plots represent the maximum amplitude of the periodic oscillation branches versus the blowing pressure (top) and the frequency of the corresponding periodic solutions versus the blowing pressure (bottom). The line thickness indicates whether the branch portion is stable (thick line) or unstable (thin line). Right plots represent the time evolution of the acoustic pressure at two points of the bifurcation diagrams above, given by the intersection of the vertical dotted line and the branches. Top: time-domain simulation of the ghost note (blue point on the bifurcation diagrams); bottom: time-domain simulation of the pedal note (orange point on the bifurcation diagrams). The horizontal dotted line represents the value of pm.
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