Abstract
The concept of hysteresis operator is outlined, and some simple models are illustrated. Some differential equations with hysteresis are also briefly discussed.
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Bossavit, A., C. Emson, C. and Mayergoyz, I.D. (1991) Géométrie différentielle, éléments finis, modèles d’ hystérésis. Eyrolles, Paris.
Brokate, M. (1987) Optimale Steuerung von gewöhnlichen Differentialgleichungen mit Nichtlinearitäten vom Hysteresis-Typ. Lang, Frankfurt am Main. English translation: Optimal control of ordinary differential equations with nonlinearities of hysteresis type. In: Automation and Remote Control, 52 (1991), 53.
Brokate, M., et al. Contributions to the session on “Problems in hysteresis”. In: Proceedings of World Congress of Nonlinear Analysts,Tampa, August 1992 (to appear).
Brokate, M., et al. (Visintin, A. ed.) (1994) Phase Transitions and Hysteresis. Lecture Notes in Mathematics, vol. 1584. Springer, Berlin.
Brokate, M. and Sprekels, J. Hysteresis phenomena in phase transitions (Monograph in preparation).
Krasnosel’skii, M.A. and Pokrovskii, A.V. (1989) Systems with hysteresis. Springer, Berlin (Russian edition: Nauka, Moscow 1983 ).
Krejci, P. Convexity, hysteresis and dissipation in hyperbolic equations. (Monograph in preparation).
Mayergoyz, I.D. (1991) Mathematical models of hysteresis. Springer, New York.
Visintin, A. (ed.) (1993) Models of hysteresis. Longman, Harlow.
Visintin, A. (1994) Differential models of hysteresis. Springer, Berlin.
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© 1996 Springer Science+Business Media Dordrecht
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Visintin, A. (1996). Mathematical models of hysteresis. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_5
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DOI: https://doi.org/10.1007/978-0-387-34922-0_5
Publisher Name: Springer, Boston, MA
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