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Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. II
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-03-20 , DOI: 10.1134/s106192082001001x
A. V. Borisov , E. V. Vetchanin , I. S. Mamaev

This paper considers the plane-parallel motion of an elliptic foil in a fluid with a nonzero constant circulation under the action of external periodic forces and torque. The existence of the first integral is shown for the case in which there is no external torque and an external force acts along one of the principal axes of the foil. It is shown that, in the general case, in the absence of friction, an extensive stochastic layer is observed for the period advance map. When dissipation is added to the system, strange attractors can arise from the stochastic layer.

中文翻译:

在外部周期性力的作用下,流体中光滑箔的运动。II

本文考虑了在外部周期性力和转矩的作用下,椭圆箔在非恒定循环为零的流体中的平面平行运动。对于没有外部扭矩并且沿箔的主轴线之一作用外力的情况,示出了第一积分的存在。结果表明,在一般情况下,在没有摩擦的情况下,对于周期提前图,观察到了广泛的随机层。当将耗散添加到系统中时,随机层会产生奇怪的吸引子。
更新日期:2020-03-20
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