非线性漂移波在行波扰动下的绕数分岔与超级结构

WINDING NUMBER BIFURCATION AND SUPERSTRUCTURE IN NONLINEAR DRIFT WAVES DRIVEN BY A TRAVELING WAVE

在文献[1]中,数字计算揭示出在时空周期场驱动下,有阻尼的非线性漂移波方程其分岔图显示出某种标度的超级结构。本文指出,漂移波方程的扰动解与未扰系统的解之间的共振和因此而引起的绕数分岔,是出现这种超级结构的原因。由此计算的波数与频率之间的标度关系,与数字实验结果符合。

In ref. [I] , numerical experiment reveals scaled superstructures In the bifurcation diagram for the damped nonlinear drift-wave driven by a traveling wave. In this paper, it is shown that the resonance between the solution of driv en-damped equation and that of the unperturbed system is the cause of winding number bifurcation and hence of the superstructure. The scaling law for the wavenumbers and frequencies calculated accordingly is in agreement with the numerical results.