Iterated maps for clarinet-like systems

This paper will present the “maps” which can be created from the analytic formulas and numerical simulations which show, over the full range of blowing pressures and reed

Figure 6 shows how the regions of period doubling remain almost constant in both the dirac reflection and the smoother reflection with a square function of 3 samples (within

Synthesized playing frequency in cents, normalized by the first impedance peak frequency, for resonators R 1.0 , R 1.5 , and R 2.0 with solid black, solid grey, dashed black

Second, even if the pulses are chaotic, and are thus associated with different trajectories in phase space, a well-defined re- fractory time can still be defined, because it

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

The outline of this paper is as follows: the second section recalls some general features of the clarinet. The third section is devoted to the first study: it analyzes the

Destuynder in [6] and having imposed appropriate convergence assumptions on the rescaled exterior fields, we derive the limit problem which depends on the limit of the ratio between

It remarkably replaced the class of Riesz transforms by more general classes of kernel operators obeying a certain point separation criterion for their Fourier multiplier symbols..