反射螺旋波的渐近动力学
Asymptotic dynamics of reflecting spiral waves
摘要：
共振强迫螺旋波在激发介质中沿直线路径漂移，其旋转中心表现为沿轨道以恒定速度移动的点状物体。与介质边界的相互作用改变了这种速度，并可能经常导致漂移轨迹的反射。这样的反射具有不同的特性，并且已知通常是高度非镜面的。在这种情况下，我们应用响应函数的理论，通过数值计算积分，减少了整个可激发介质的反应扩散方程的动态旋转中心和旋转相位的螺旋波。螺旋反射轨迹计算的小和大的核心螺旋波在巴克利模型的这种方法。这种计算提供了对反射过程的深入了解，以及对参数之间轨迹差异的解释，包括入射角和强迫振幅的影响。这些结果的定性方面远远超出了弱边界效应和慢共振漂移的渐近极限。
英文摘要：
Resonantly forced spiral waves in excitable media drift in straight-line paths, their rotation centers behaving as point-like objects moving along trajectories with a constant velocity. Interaction with medium boundaries alters this velocity and may often result in a reflection of the drift trajectory. Such reflections have diverse characteristics and are known to be highly nonspecular in general. In this context we apply the theory of response functions, which via numerically computable integrals, reduces the reaction-diffusion equations governing the whole excitable medium to the dynamics of just the rotation center and rotation phase of a spiral wave. Spiral reflection trajectories are computed by this method for both small- and large-core spiral waves in the Barkley model. Such calculations provide insight into the process of reflection as well as explanations for differences in trajectories across parameters, including the effects of incidence angle and forcing amplitude. Qualitative aspects of these results are preserved far beyond the asymptotic limit of weak boundary effects and slow resonant drift.
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。
