The journal examines such topics as perturbation and computational methods, symbolic manipulation, dynamic stability, local and global methods, bifurcations, chaos, and deterministic and random vibrations. The journal also investigates Lie groups, multibody dynamics, robotics, fluid-solid interactions, system modeling and identification, friction and damping models, signal analysis, and measurement techniques.
Animal vocalizations range from tonal sounds produced by almost periodicvocal fold vibrations to completely aperiodic sounds generating noisy signals. Betweenthese two extremes, a variety of nonlinear phenomena such as limit cycles,subharmonics, biphonation, chaos, and bifurcations have been found. This chapterintroduces a concept of nonlinear dynamics and its methodology applicable tobioacoustic data. Since conventional spectral analysis is not sufficient to characterizenonlinear properties of the recorded sound signals, a temporal analysis based upon themethod of nonlinear dynamics is developed. First, using a mathematical model of thevocal folds, basics of nonlinear dynamics and bifurcations are illustrated. The temporalanalysis is then applied to acoustic data from real animal vocalizations. Our focus is onextracting low-dimensional nonlinear dynamics from several samples of vocalizationsranging from tonal sounds to irregular atonal sounds. We demonstrate that nonlinearanalysis is a profitable approach for analyzing mammalian vocalizations with aharmonic composition or low-dimensional chaos.
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