Liapunov exponents from a time series of acoustic chaos.

Liapunov exponents have been determined from a time series of acoustic turbulence. It is found that a low-dimensional chaotic attractor with one positive largest exponent rules the motions in phase space in the broadband noise region. The method for calculating the spectrum of Liapunov exponents is analyzed in detail for its applicability in experimental situations. It is shown, in particular, that spurious exponents arising from the embedding procedure do not spoil the calculation and that the calculation of the Liapunov dimension is possible.