论文标题
在相位振荡器方向链中的强劲形成
Robust formation of metachronal waves in directional chains of phase oscillators
论文作者
论文摘要
生物系统可以依赖于振荡器合奏中的集体形成，以进行运动和流体运输。我们考虑具有最接近邻居相互作用的相位振荡器的一维链，并与旋转对称性相连，因此每个振荡器都类似于链中的所有其他振荡器。离散相振荡器系统和连续近似的数值整合表明，方向模型（不服从逆转对称性的模型）可以表现出对短波长扰动的不稳定性，但仅在相位中斜率具有特定符号的区域。这会导致短波长的扰动发展，从而可以改变绕组的绕组数，从而描述了整个环上的相位差异和所得的过渡波速度。随机方向相振荡器模型的数值整合表明，即使是弱的噪声水平也可以种子不稳定性，这些噪声不稳定在基本波状态中。
Biological systems can rely on collective formation of a metachronal wave in an ensemble of oscillators for locomotion and for fluid transport. We consider one-dimensional chains of phase oscillators with nearest neighbor interactions, connected in a loop and with rotational symmetry, so each oscillator resembles every other oscillator in the chain. Numerical integrations of the discrete phase oscillator systems and a continuum approximation show that directional models (those that do not obey reversal symmetry), can exhibit instability to short wavelength perturbations but only in regions where the slope in phase has a particular sign. This causes short wavelength perturbations to develop that can vary the winding number that describes the sum of phase differences across the loop and the resulting metachronal wave speed. Numerical integrations of stochastic directional phase oscillator models show that even a weak level of noise can seed instabilities that resolve into metachronal wave states.
