The impulse pattern formulation (IPF) as a model of musical instruments—Investigation of stability and limits
Simon Linke, Rolf Bader, Robert Mores · Chaos An Interdisciplinary Journal of Nonlinear Science · 2019
The Impulse Pattern Formulation (IPF) is an analytical modeling approach for synergetic systems in general, motivated by research on musical instruments. Based on the assumption that the coupling of system components can be described by the interaction between individually propagating and exponentially damped impulse trains, the IPF describes tone generation in musical instruments as self-organized systems. In contrast to other nonlinear recursive functions such as the Logistic Map, system predictions cannot be derived easily from knowledge on other theories, neither can the system be completely examined analytically. Therefore, several numerical simulations are performed to explore stable regions and limits of the IPF.