arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.04501math.DSnlin.AO
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滞后与稳定

Hysteresis and Stabillity

Amenda Chow, Kristen A. Morris, Gina Faraj Rabbah

摘要:

滞后可以从动力系统的角度相对于平衡点来定义。因此,迟滞自然地适合作为一个主题,以说明和扩展概念,在动力系统课程。一些例子表现出滞后,最动机的应用程序,提出。虽然这些例子可以用来构建学生练习,但具体问题在附录中列出。本文还对偏微分方程中的滞后现象作了一个简单的扩展。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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