Complex and transitive synchronization in a frustrated system of calling frogs
Complex and transitive synchronization in a frustrated system of calling frogs
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DOI：
10.1103/physreve.83.031913
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发表时间：
2011-03-21
影响因子：
2.4
通讯作者：
Aihara, Kazuyuki
中科院分区：
文献类型：
--
作者：
Aihara, Ikkyu;Takeda, Ryu;Aihara, Kazuyuki
这封信报告了一个生物系统的同步现象和数学建模，或日本树蛙（Hyla japonica）。虽然一只孤立的雄性日本树蛙几乎周期性地呼叫，但他可以听到其他雄性的声音。因此，相互作用的雄性的自发呼叫行为可以理解为一个耦合振子系统。我们根据两只青蛙的实验结果构造了一个简单但生物学上合理的模型，并将该模型推广到三只青蛙的系统，从理论上预测了丰富的同步现象的发生，如三相同步和1：2反相同步。此外，我们通过对三只青蛙的鸣叫行为进行行为学实验和对记录的声音数据进行时间序列分析，验证了理论预测。请注意，三只雄性日本树蛙的鸣叫行为是失败的，因为在两只雄性树蛙的系统中观察到几乎完美的反相同步。因此，三只青蛙系统的非线性动力学应该远非微不足道。
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.