Source-tract coupling in birdsong production
Source-tract coupling in birdsong production
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DOI：
10.1103/physreve.79.061921
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发表时间：
2009-06-01
影响因子：
2.4
通讯作者：
Mindlin, Gabriel B.
中科院分区：
文献类型：
--
作者：
Arneodo, Ezequiel M.;Mindlin, Gabriel B.
鸟鸣是一种复杂的现象，由一种非线性发声装置产生，即使在简单的生理运动命令下也能显示复杂的解决方案。在鸣禽产生复杂声音的外围物理机制中，对声源和上声道相互作用产生的动力学的理解仍然是最难以捉摸的。在这项工作中，我们研究了一个简单声源模型与一个通道相互作用的高耗散极限，用延迟微分方程进行数学描述。我们对该系统进行了数值研究，通过将问题简化为相方程，我们能够研究它的周期解。在参数空间中，当通道的共振与不耦合源解的频率相匹配时，我们发现周期极限环的共存。这种滞后现象使我们能够解释最近报道的一些鸣禽发声的特征，特别是“频率跳跃”。
Birdsong is a complex phenomenon, generated by a nonlinear vocal device capable of displaying complex solutions even under simple physiological motor commands. Among the peripheral physical mechanisms responsible for the generation of complex sounds in songbirds, the understanding of the dynamics emerging from the interaction between the sound source and the upper vocal tract remains most elusive. In this work we study a highly dissipative limit of a simple sound source model interacting with a tract, mathematically described in terms of a delay differential equation. We explore the system numerically and, by means of reducing the problem to a phase equation, we are capable of studying its periodic solutions. Close in parameter space to the point where the resonances of the tract match the frequencies of the uncoupled source solutions, we find coexistence of periodic limit cycles. This hysteresis phenomenon allows us to interpret recently reported features found in the vocalization of some songbirds, in particular, "frequency jumps."