对流-反应扩散系统中的锁模：不变流形观点
Mode-locking in advection-reaction-diffusion systems: an invariant manifold perspective
摘要：
在二维对流-反应-扩散（ARD）系统中传播的锋面具有丰富的拓扑结构。当底层流体流动在空间和时间上是周期性的时，反应前沿可以锁定到驱动频率。我们解释这种锁模现象，使用所谓的燃烧不变流形（BIM）。实际上，锁模轮廓由附接到前元件动力学的相对周期轨道（RPO）的BIM描绘。锁模类型（和损耗）的变化可以从RPO及其BIM的局部和全局分叉来理解。我们说明这些概念的数值使用链的交替涡流的通道几何形状。
英文摘要：
Fronts propagating in two-dimensional advection-reaction-diffusion (ARD) systems exhibit rich topological structure. When the underlying fluid flow is periodic in space and time, the reaction front can lock to the driving frequency. We explain this mode-locking phenomenon using so-called burning invariant manifolds (BIMs). In fact, the mode-locked profile is delineated by a BIM attached to a relative periodic orbit (RPO) of the front element dynamics. Changes in the type (and loss) of mode-locking can be understood in terms of local and global bifurcations of the RPOs and their BIMs. We illustrate these concepts numerically using a chain of alternating vortices in a channel geometry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
