%0 Journal Article
%T The plucked string: an example of non-normal dynamics
%A David Politzer
%J Physics
%D 2014
%I arXiv
%R 10.1119/1.4902310
%X Motion of a single Fourier mode of the plucked string is an example of transient, free decay of coupled, damped oscillators. It shares the rarely discussed features of the generic case, e.g., possessing a complete set of non-orthogonal eigenvectors and no normal modes, but it can be analyzed and solved analytically by hand in an approximation that is appropriate to musical instruments' plucked strings.
%U http://arxiv.org/abs/1406.6939v2