论文标题

磁滞和稳定性

Hysteresis and Stabillity

论文作者

Chow, Amenda, Morris, Kristen A., Rabbah, Gina Faraj

论文摘要

可以从动力学系统的角度定义滞后,相对于平衡点。因此,滞后自然地将自己作为一个主题来说明和扩展动态系统课程中的概念。提出了许多表现出磁滞的例子,最受应用的动机。尽管这些示例可用于构建学生练习,但附录中列出了具体问题。还包括了部分微分方程中磁滞的简要扩展。

Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. Consequently, hysteresis naturally lends itself as a topic to illustrate and extend concepts in a dynamical systems course. A number of examples exhibiting hysteresis, most motivated by applications, are presented. Although the examples can be used to construct student exercises, specific questions are listed in an appendix. A brief extension on hysteresis in partial differential equations is also included.

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