Titlebook: Hysteresis and Phase Transitions; Martin Brokate,Jürgen Sprekels Book 1996 Springer-Verlag New York, Inc. 1996 Approximation.Convexity.Pha

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Die Inhaltsbestimmung durch Auslegung dynamical system consists of a system of differential equations coupled with one or several hysteresis operators, which is complemented by initial and boundary conditions. The oscillator with hysteretic restoring force,. being a hysteresis operator, furnishes a basic example..

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Book 1996ii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.

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Hysteresis Operators,trying to understand how their respective forms might follow from general physical principles such as, for example, the universal balance laws for mass, linear momentum and internal energy.; instead, we assume the form of the hysteresis loops as given, and we study them from a purely mathematical po

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Phase Transitions and Hysteresis,o formalize the input-output behaviour of hysteresis loops gave rise to introduce the notion of ., and we studied their properties and differential equations in which they appear. In this approach, we did not pay much attention to the physical circumstances. In particular, we entirely ignored the fa