Analytical Computation of the Area of Pinched Hysteresis Loops of Ideal Mem-Elements

The memory elements, memristor being the best known of them, driven by a periodical waveform exhibit the well-known pinched hysteresis loops. The hysteresis is caused by a memory effect which results in a nonzero area closed within the loop. This paper presents an analytical formula for the loop are...

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Bibliographic Details
Main Authors: Z. Biolek, D. Biolek, V. Biolkova
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2013-04-01
Series:Radioengineering
Subjects:
Online Access:http://www.radioeng.cz/fulltexts/2013/13_01_0132_0135.pdf
Description
Summary:The memory elements, memristor being the best known of them, driven by a periodical waveform exhibit the well-known pinched hysteresis loops. The hysteresis is caused by a memory effect which results in a nonzero area closed within the loop. This paper presents an analytical formula for the loop area. This formula is then applied to memory elements whose parameter-vs.-state maps are modeled in the polynomial form. The TiO2 memristor, a special subset of the above elements, is analyzed as a demonstration example.
ISSN:1210-2512