标题： 向上驱动的圆盘，一个持续受迫的混沌摆 显示英文标题

标题： The Upward-Driven Disk, a Steadily Forced Chaotic Pendulum

摘要： “向上驱动的圆盘”是一种由乐高部件制成的新颖机械装置。一个圆形圆盘被悬挂在两个轮子之间夹住它的位置，使其可以像钟摆一样自由摆动，但由于其中一个轮子旋转时施加的一个持续向上的驱动力量，圆盘上悬挂点的位置会随时间变化。钟摆可以在悬挂向下和倒置之间动态翻转。根据向上的驱动力和初始条件，圆盘可以表现出稳定的旋转、周期性运动或混沌运动（并且对于相同的驱动力而言，这些运动形式中的一些可能会同时出现）。这个装置作为其他物理系统中混沌现象的易于观察的类比。最值得注意的是，向上驱动的圆盘模仿了著名的洛伦兹方程的简化版本，该方程常用于描述流体对流。 显示英文摘要

摘要： An "upward-driven disk" is a novel mechanical device built from LEGO parts. A circular disk is suspended from the point where it is sandwiched between two wheels, making it free to oscillate as a pendulum, but the location of that suspension point on the disk changes with time due to a steady upward driving force applied by rotation of one of the wheels. The pendulum can dynamically flip between hanging downward and being inverted. Depending on the upward drive and the initial conditions, the disk can exhibit steady rotation, periodic motion, or chaotic motion (and some of these for the same drive). This device serves as an easy-to-visualize analog of chaotic phenomena in other physical systems. Most notably, the upward driven disk mimics a simplified version of the celebrated Lorenz equations that are frequently used to describe fluid convection.