Nonlinear dynamics and bifurcations of a coupled oscillator model for calling behavior of Japanese tree frogs (Hyla japonica) |
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| Authors: | Ikkyu Aihara Kunichika Tsumoto |
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| Institution: | aDepartment of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan;bAihara Complexity Modelling Project, ERATO, Japan Science and Technology Agency (JST), 3-23-5-201 Uehara, Shibuya-ku, Tokyo 151-0064, Japan;cInstitute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan |
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| Abstract: | Synchronization has been observed in various systems, including living beings. In a previous study, we reported a new phenomenon with antisynchronization in calling behavior of two interacting Japanese tree frogs. In this paper, we theoretically analyse nonlinear dynamics in a system of three coupled oscillators, which models three interacting frogs, where the oscillators of each pair have the property of antisynchronization; in particular, we perform bifurcation analysis and Lyapunov function analysis. |
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| Keywords: | Japanese tree frogs Phase oscillator model Bifurcation analysis Lyapunov function |
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