A representation result for hysteresis operators with vector valued inputs and its application to models for magnetic materials

In this work, hysteresis operators mapping continuous vector-valued input functions being piecewise monotaffine, i.e. being piecewise the composition of a monotone with an affine function, to vector-valued output functions are considered. It is shown that the operator can be generated by a unique de...

Full description

Saved in:
Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2014-02, Vol.435, p.113-115
Main Author: Klein, Olaf
Format: Article
Language:English
Subjects:
Condensed matter
Congruence
Hysteresis
Hysteresis operators
Mathematical analysis
Mathematical models
Operators
Periodic inputs
Representations
Strings
Vectorial hysteresis
Vectors (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, hysteresis operators mapping continuous vector-valued input functions being piecewise monotaffine, i.e. being piecewise the composition of a monotone with an affine function, to vector-valued output functions are considered. It is shown that the operator can be generated by a unique defined function on the convexity triple free strings. A formulation of a congruence property for periodic inputs is presented and reformulated as a condition for the generating string function.
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2013.09.034