厚随机泵层阿诺扩散理论

The Arnold Diffusion Calculation for Stochastic Pump-Thick Layers

以解析和数值方法研究了耦合标准映象的阿诺(Arnold)扩散现象,假设(J_0—H_0)为泵。且处于厚随机层。(I_0,O_0)处于薄随机层,给出扩散率的解析表达式。同时,又数值计算了作为耦合常数b,非线性参数κ及迭代次数N的函数的扩散率。结果表明,当各种参数较小时,理论推测与数值计算结果一致.也分析了参数大时。解析理论不适用的原因.

The Arnold diffusion for coupled standard mapping are investigated by the analytical and numerical mcthod. Supposed, the (J_0—H_0) is a pump, and lcia thick stochastic layer. The analytical exprcss of diffusion coefficient are advanccd and the diffusion coefficient of funetion as coupling constant b, nonlinear parameter k, and the numbcr of rcpeatedly N are computcd by the method of numcrical. For the small parameter volues, the theoretical prediction agress well with numerical result. The useless reasons of analytical theory for large parameter are analysed.