复Ginzburg-Landau方程中螺旋波的运动
Motion of spiral waves in the Complex Ginzburg-Landau equation
摘要：
考虑了一般三次复Ginzburg-Landau方程的多重螺旋波解。对于接近涡极限的参数，以及一个系统的螺旋波以及分离的中心，法律的中心的运动被发现这取决于该中心的分离的数量级的顺序。特别是，随着间距的增加，相互作用的方向从沿着中心线变为垂直于中心线，在小间距处相互作用的强度为代数，在大间距处为指数。确定了相应的渐近波数和频率。这些取决于螺旋中心的位置，因此随着螺旋的移动而缓慢演变。
英文摘要：
Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered. For parameters close to the vortex limit, and for a system of spiral waves with well-separated centres, laws of motion of the centres are found which vary depending on the order of magnitude of the separation of the centres. In particular, the direction of the interaction changes from along the line of centres to perpendicular to the line of centres as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wavenumber and frequency are determined. These depend on the positions of the centres of the spirals, and so evolve slowly as the spirals move.
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