The impulse pattern formulation (IPF) as a model of musical instruments : investigation of stability and limits

Linke, Simon; Bader, Rolf; Mores, Robert

doi:10.1063/1.5092511

Publisher DOI:	10.1063/1.5092511
Title:	The impulse pattern formulation (IPF) as a model of musical instruments : investigation of stability and limits
Language:	English
Authors:	Linke, Simon Bader, Rolf Mores, Robert
Keywords:	Chaotic maps; Chaotic systems; Musical instruments; Musical sound synthesis; Transient acoustic radiation; Sound production technology; Real analysis; Complex analysis; Self assembly
Issue Date:	8-Oct-2019
Publisher:	American Institute of Physics
Journal or Series Name:	Chaos : an interdisciplinary journal of nonlinear science
Volume:	29
Issue:	10
Abstract:	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. [Artikelnummer: 103109]
URI:	http://hdl.handle.net/20.500.12738/4429
ISSN:	1089-7682
Review status:	This version was peer reviewed (peer review)
Institute:	Department Medientechnik Fakultät Design, Medien und Information
Type:	Article
Additional note:	article number: 103109 (2019)
Appears in Collections:	Publications without full text