Chaos in the segments from Korean traditional singing and western singing

Details Chaos in the segments from Korean traditional singing and western singing Chaos in the segments from Korean traditional singing and western singing

1997-10-28

arxiv.org/abs/chao-dyn/9710022v1

Nonlinear Sciences

Chaotic Dynamics

23 pages including 10 eps figures, latex, to appear in J. Acoust. Soc. Am

Scientific paper

10.1121/1.421226

We investigate the time series of the segments from a Korean traditional song ``Gwansanyungma'' and a western song ``La Mamma Morta'' using chaotic analysis techniques. It is found that the phase portrait in the reconstructed state space of the time series of the segment from the Korean traditional song has a more complex structure in comparison with the segment from the western songs. The segment from the Korean traditional song has the correlation dimension 4.4 and two positive Lyapunov exponents which show that the dynamic related to the Korean traditional song is a high dimensional hyperchaotic process. On the other hand, the segment from the western song with only one positive Lyapunov exponent and the correlation dimension 2.5 exhibits low dimensional chaotic behavior.

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