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Chaotic motors

机译:混沌电机

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摘要

We show that electric motors and dynamos can be used to illustrate most elementary instabilities or bifurcations discussed in courses on nonlinear oscillators and dynamical systems. These examples are easier to understand and display a richer behavior than the ones commonly used from mechanics, electronics, hydrodynamics, lasers, chemical reactions, and population dynamics. In particular, an electric motor driven by a dynamo can display stationary, Hopf, and codimension-two bifurcations by tuning the driving speed of the dynamo and the electric current in the stator of the electric motor. When the dynamo is driven at constant torque instead of constant rotation rate, chaotic reversals of the generated current and of the angular rotation of the motor are observed. Simple deterministic models are presented which capture the observed dynamical regimes.
机译:我们表明,电动机和发电机可用于说明非线性振荡器和动力学系统课程中讨论的大多数基本不稳定性或分叉。这些示例比力学,电子学,流体力学,激光,化学反应和种群动力学中常用的示例更易于理解,并显示出更丰富的行为。特别地,通过调节发电机的驱动速度和电动机的定子中的电流,由发电机驱动的电动机可以显示静止,霍普夫和余维两个分叉。当发电机以恒定转矩而不是恒定转速驱动时,会观察到所产生电流和电动机角旋转的混沌反转。提供了简单的确定性模型,可以捕获观察到的动力学状态。

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