Hysteresis and Stability
Copyright policy )Hysteresis and Stability
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.
14 pages, 42 figures, submitted for peer review
- York University Canada
Nonautonomous smooth dynamical systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, differential equations, FOS: Physical sciences, Dynamical Systems (math.DS), Stability of solutions to ordinary differential equations, stability, dynamical systems, equilibria, Hysteresis for ordinary differential equations, Nonlinear Sciences - Adaptation and Self-Organizing Systems, hysteresis, FOS: Mathematics, Mathematics - Dynamical Systems, Adaptation and Self-Organizing Systems (nlin.AO)
Nonautonomous smooth dynamical systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, differential equations, FOS: Physical sciences, Dynamical Systems (math.DS), Stability of solutions to ordinary differential equations, stability, dynamical systems, equilibria, Hysteresis for ordinary differential equations, Nonlinear Sciences - Adaptation and Self-Organizing Systems, hysteresis, FOS: Mathematics, Mathematics - Dynamical Systems, Adaptation and Self-Organizing Systems (nlin.AO)
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