Nonlinear dynamics and bifurcations of a coupled oscillator model for calling behavior of Japanese tree frogs (Hyla japonica).
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.
Aihara
Ikkyu
I
Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan. aihara.ikkyu@t02.mbox.media.kyoto-u.ac.jp
Tsumoto
Kunichika
K
D000465:Algorithms; D000818:Animals; D001001:Anura / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D013016:Sound; D014828:Vocalization, Animal / Q000502:physiology*