M. Kremliovsky et al., CHARACTERIZATION OF DOLPHIN ACOUSTIC ECHOLOCATION DATA USING A DYNAMICAL CLASSIFICATION METHOD, International journal of bifurcation and chaos in applied sciences and engineering, 8(4), 1998, pp. 813-823
Many methods for time series analysis derived from nonlinear dynamical
systems theory have been developed in the last decade, and have demon
strated remarkable results in a variety of simulated, experimental, an
d real applications. Classification of time series based on the underl
ying dynamical generator is also potentially powerful, and we have pre
viously presented a method for dynamical classification based on empir
ically estimated sets of nonlinear ordinary differential equations, i.
e. global dynamical models. A particularly useful area of application
for such methods may be biologic and medical data analysis, where few
quantitative methods exist for the highly complex time evolutions. Her
e, as an example of the application of such classification methods, we
present an analysis of data of the acoustic pulse trains produced by
dolphins as they attempt to echo-locate objects in an ocean environmen
t, which is derived from a controlled experimental framework.