Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany.
Phys Rev Lett. 2012 May 18;108(20):204101. doi: 10.1103/PhysRevLett.108.204101. Epub 2012 May 15.
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective modes of long wavelengths. We use this approach to study spatial phase profiles of cellular oscillators in the segmentation clock, a dynamic patterning system of vertebrate embryos. Collective wave patterns result from the interplay of coupling delays and moving boundary conditions. We show that the phase profiles of collective modes depend on coupling delays.
我们研究了时滞耦合对空间扩展动力振子系统的定时和模式形成的影响。从耦合振子的离散晶格出发，我们推导出了长波长集体模式的通用连续体理论。我们使用这种方法研究了节律钟（脊椎动物胚胎的动态模式形成系统）中细胞振子的空间相位分布。集体波模式是由耦合延迟和移动边界条件的相互作用产生的。我们表明，集体模式的相位分布取决于耦合延迟。
