Wu Ningjie, Gao Hongjun, Ying Heping
School of Mathematical Sciences, Nanjing Normal University, Nanjing, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Dec;82(6 Pt 2):066206. doi: 10.1103/PhysRevE.82.066206. Epub 2010 Dec 13.
The kinematics of spiral waves with artificially constructed spatial excitability is numerically investigated in the Oregonator model. On an assumption that the rotation center of spiral's tip drifts at angle δ to the direction of a local gradient, a kinematic formula of motion of spiral's tip is derived. To test the formula, we have presented two forms of feedback-related spatial fields with radial gradients (RGs) and concentric circular gradients (CGs) both centering on a reference point. It is found that both rigidly rotating and meandering spiral waves are attracted to the reference point of an inward RG and a clockwise CG perturbation but moved away from it under an outward RG and a counterclockwise CG. Simulations of the drift-velocity formulas provide a quantitative testing of the numerical results.
在俄勒冈振子模型中对具有人工构建空间兴奋性的螺旋波的运动学进行了数值研究。在螺旋波尖端的旋转中心相对于局部梯度方向以角度δ漂移的假设下，推导了螺旋波尖端的运动学公式。为了检验该公式，我们给出了两种以参考点为中心的具有径向梯度（RG）和同心圆形梯度（CG）的与反馈相关的空间场形式。结果发现，刚性旋转和蜿蜒的螺旋波都被向内的RG和顺时针的CG扰动的参考点吸引，但在向外的RG和逆时针的CG作用下会远离该参考点。漂移速度公式的模拟为数值结果提供了定量检验。
