Speaker
Description
The Impulse Pattern Formulation (IPF) was originally developed as a nonlinear recursive framework for modeling sound generation in musical instruments and was later extended to further topics, including interactions between musicians. In this contribution, the focus is on the performer’s influence on the instrument through dynamically varying control parameters. The IPF describes coupled dynamical systems via interacting impulse trains and captures characteristic acoustic regimes such as stable oscillations, bifurcations, and noise-like behavior. While previous work has mainly addressed the boundaries of these regimes through quasi-stationary regime transitions, musical performance inherently involves time-dependent parameter variations that shape dynamics and articulation. For example, when modeling the tone production of a saxophone, there is a fundamental difference between changing the pitch via fingering, resulting in sudden parameter changes, and increasing the blowing pressure, which induces continuous parameter variation. By analyzing such dynamically evolving conditions within the IPF framework, this work provides a systematic perspective on how performer-driven parameter changes affect acoustic regimes. The results provide new insights into the stability properties of the IPF and contribute to a better understanding of the interplay between instrument physics and performer control in shaping musical dynamics and articulation.