论文标题
一个可整合的扭矩，湿，刚性转子的家族
An integrable family of torqued, damped, rigid rotors
论文作者
论文摘要
Euler方程的旋转式旋转的说明通常会引起特殊阻尼系统的概念，该系统的能量会消散，而其角动量幅度在体形框架中得到了保守。尝试明确构建这种阻尼函数的尝试导致了一个更通用但仍然可以整合的立方方程系统，其轨迹局限于角动量空间中的四边形表面的嵌套集。对于某些参数选择，沿惯性轴最大和最小矩的固定点的线可以同时吸引。限制案例是保留角动量能量或大小的情况。简要讨论了与杆力学，微磁和具有有效质量的颗粒的相似之处。
Expositions of the Euler equations for the rotation of a rigid body often invoke the idea of a specially damped system whose energy dissipates while its angular momentum magnitude is conserved in the body frame. An attempt to explicitly construct such a damping function leads to a more general, but still integrable, system of cubic equations whose trajectories are confined to nested sets of quadric surfaces in angular momentum space. For some choices of parameters, the lines of fixed points along both the largest and smallest moment of inertia axes can be simultaneously attracting. Limiting cases are those that conserve either the energy or the magnitude of the angular momentum. Parallels with rod mechanics, micromagnetics, and particles with effective mass are briefly discussed.
