Every nonlinear element from Chua's table can generate pinched hysteresis loops: generalised homothety theorem

The pinched hysteresis loops drawn in the voltage–current, voltage–charge, and flux–current characteristics belong to well-known fingerprints of the memory elements known as the memristor, memcapacitor, and meminductor. It is shown that generating such loops is in fact a natural attribute of all non...

Full description

Saved in:
Bibliographic Details
Published in:Electronics letters 2016-10, Vol.52 (21), p.1744-1746
Main Authors: Biolek, D, Biolek, Z, Biolkova, V
Format: Article
Language:English
Subjects:
Chua table
Chua's circuit
Circuits and systems
Electronics
generalised homothety theorem
Hysteresis
Hysteresis loops
memcapacitor
meminductor
Memory devices
memristor
memristor circuits
nonlinear element
Nonlinearity
pinched hysteresis loops
Resistors
Tables (data)
Theorems
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:The pinched hysteresis loops drawn in the voltage–current, voltage–charge, and flux–current characteristics belong to well-known fingerprints of the memory elements known as the memristor, memcapacitor, and meminductor. It is shown that generating such loops is in fact a natural attribute of all nonlinear elements from Chua's table, and that the hysteresis need not necessarily be a manifestation of the internal memory of the element. A generalised homothety theorem is introduced, which describes the regularities of such a hysteresis and its frequency dependence.
ISSN:0013-5194
1350-911X
1350-911X
DOI:10.1049/el.2016.2961