The physics of vibrating strings

Physics-Based Methods for Modeling Nonlinear Vibrating Strings

Nonlinearity in the vibration of a string is responsible for interesting acoustical features in many plucked string instruments, resulting in a characteristic and easily recognizable tone. For this reason, synthesis models have to be capable of modeling this nonlinear behavior, when high quality results are desired. This study presents two novel physical modeling algorithms for simulating the t...

Stars of vibrating strings: Switching boundary feedback stabilization

Abstract. We consider a star-shaped network consisting of a single node with N ≥ 3 connected arcs. The dynamics on each arc is governed by the wave equation. The arcs are coupled at the node and each arc is controlled at the other end. Without assumptions on the lengths of the arcs, we show that if the feedback control is active at all exterior ends, the system velocity vanishes in finite time....

Order preserving vibrating strings and applications to Electrodynamics and Magnetohydrodynamics

The motion of a collection of vertical strings subject to horizontal linear vibrations in the plane can be described by a system of first order nonlinear conservations laws. This system -that we call the Chaplygin-Born-Infeld (CBI) systemis related to Magnetohydrodynamics and more specifically to its shallow water version. Then, each vibrating string can be interpreted as a magnetic line. The C...

Mathematics and Physics of N=2 Strings

Open and closed strings with two worldsheet supersymmetries in 2+2 dimensional spacetime are reviewed in the NSR formulation. I briefly discuss their quantization, mutual and self-interactions, classical spacetime dynamics and interpretation in terms of self-dual Yang-Mills and gravity. A stringy origin of the infinite self-dual gravity hierarchy is presented. An outlook to the loop level concl...

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