Complex and transitive synchronization in a frustrated system of calling frogs

Ikkyu Aihara, Ryu Takeda, Takeshi Mizumoto, Takuma Otsuka, Toru Takahashi, Hiroshi G. Okuno, Kazuyuki Aihara

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This letter reports synchronization phenomena and mathematical modeling on a frustrated system of living beings, or Japanese tree frogs (Hyla japonica). While an isolated male Japanese tree frog calls nearly periodically, he can hear sounds including calls of other males. Therefore, the spontaneous calling behavior of interacting males can be understood as a system of coupled oscillators. We construct a simple but biologically reasonable model based on the experimental results of two frogs, extend the model to a system of three frogs, and theoretically predict the occurrence of rich synchronization phenomena, such as triphase synchronization and 1:2 antiphase synchronization. In addition, we experimentally verify the theoretical prediction by ethological experiments on the calling behavior of three frogs and time series analysis on recorded sound data. Note that the calling behavior of three male Japanese tree frogs is frustrated because almost perfect antiphase synchronization is robustly observed in a system of two male frogs. Thus, nonlinear dynamics of the three-frogs system should be far from trivial.

Original languageEnglish
Article number031913
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume83
Issue number3
DOIs
Publication statusPublished - 2011 Mar 21
Externally publishedYes

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frogs
synchronism
Synchronization
Time Series Analysis
Coupled Oscillators
Mathematical Modeling
Nonlinear Dynamics
Trivial
time series analysis
acoustics
Model-based
Verify
Predict
Prediction
Experimental Results
oscillators
occurrences
Experiment

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Complex and transitive synchronization in a frustrated system of calling frogs. / Aihara, Ikkyu; Takeda, Ryu; Mizumoto, Takeshi; Otsuka, Takuma; Takahashi, Toru; Okuno, Hiroshi G.; Aihara, Kazuyuki.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 83, No. 3, 031913, 21.03.2011.

Research output: Contribution to journalArticle

Aihara, Ikkyu ; Takeda, Ryu ; Mizumoto, Takeshi ; Otsuka, Takuma ; Takahashi, Toru ; Okuno, Hiroshi G. ; Aihara, Kazuyuki. / Complex and transitive synchronization in a frustrated system of calling frogs. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2011 ; Vol. 83, No. 3.
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