2006
DOI: 10.1142/s0218339006002008
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Deterministic Chaos in Sounds of Asian Cicadas

Abstract: We analyze the sound recording of the Southeast Asian cicada Tosena depicta with methods of nonlinear time series analysis. First, we reconstruct the phase space from the sound recording and test it against determinism and stationarity. After positively establishing determinism and stationarity in the series, we calculate the maximal Lyapunov exponent. We find that the latter is positive, from which we conclude that the sound recording possesses clear markers of deterministic chaos. We discuss that methods of … Show more

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Cited by 16 publications
(7 citation statements)
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“…The other possible explanations for our failure in quantitatively distinguishing songs of congeneric cicadas might be the limitation of our spectrogram analysis, which is based on the Fourier transform, a linear system analysis. Since Benko and Perc [ 33 34 ] have demonstrated that sounds of insects, such as the Asian cicada ( Tosena depicta ) and katydid ( Neoconocephalus robustus ), possess clear markers of deterministic chaos, we suggested that a nonlinear analysis, such as the determination of the maximal Lyapunov exponent, might be beneficial to distinguish songs of congeneric cicadas quantitatively.…”
Section: Discussionmentioning
confidence: 99%
“…The other possible explanations for our failure in quantitatively distinguishing songs of congeneric cicadas might be the limitation of our spectrogram analysis, which is based on the Fourier transform, a linear system analysis. Since Benko and Perc [ 33 34 ] have demonstrated that sounds of insects, such as the Asian cicada ( Tosena depicta ) and katydid ( Neoconocephalus robustus ), possess clear markers of deterministic chaos, we suggested that a nonlinear analysis, such as the determination of the maximal Lyapunov exponent, might be beneficial to distinguish songs of congeneric cicadas quantitatively.…”
Section: Discussionmentioning
confidence: 99%
“…Deterministic chaos was observed in many different real-life phenomena that include some Hindustani classical music, some bio-medical signals like ECG [35] and EMG signals, etc. Recently, deterministic chaos was observed in systems as diverse as insects [36][37], reptiles [38] and by laser droplet generation [39]. Most of these reallife signals are non-stationary, and nonlinear with different types of nonlinearities.…”
Section: Introductionmentioning
confidence: 99%
“…Complexity in acoustic signals has traditionally been described by patterns of frequency and/or amplitude modulation, or the sequential combination of harmonic and broadband elements [1,4,7]. However, recent application of chaos theory and nonlinear time-series analysis to animal calls [4,8] has revealed a new metric of acoustic complexity that expands frequency profiles beyond this dichotomous categorization of harmonic and broadband calls in both vertebrate [1,4,7,8] and invertebrate lineages [9][10][11].…”
Section: Introductionmentioning
confidence: 99%