This paper is concerned with the study of a nonholonomic system with parametric excitation, the Suslov problem with variable gyrostatic momentum. A detailed analysis is made of the problem of the existence of regimes with unbounded growth of energy (an analog of Fermi’s acceleration). The existence of trajectories is shown for which the angular velocity of the rigid body increases indefinitely and has the asymptotics ##IMG## [http://ej.iop.org/images/1751-8121/53/18/185701/aab7e52ieqn1.gif] {${t}^{\frac{1}{2}}$} .

中文翻译：

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周期控制下非完整Suslov问题的动力学：无限加速和奇怪吸引子

本文涉及具有参量激励的非完整系统，具有可变回旋动量的Suslov问题的研究。详细分析了存在能量无限增长的制度（费米加速度的类似物）的问题。轨迹的存在显示为刚体的角速度无限期增加并且具有渐近性## IMG ## [http://ej.iop.org/images/1751-8121/53/18/185701/aab7e52ieqn1 .gif] {$ {t} ^ {\ frac {1} {2}} $}。