Hysteresis and Stabillity
Dynamical Systems
2022-05-25 v3 Adaptation and Self-Organizing Systems
Abstract
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.
Cite
@article{arxiv.2001.04501,
title = {Hysteresis and Stabillity},
author = {Amenda Chow and Kristen A. Morris and Gina Faraj Rabbah},
journal= {arXiv preprint arXiv:2001.04501},
year = {2022}
}
Comments
14 pages, 42 figures, submitted for peer review