Publication result detail

Every Nonlinear Element from Chua's Table Can Generate Pinched Hysteresis Loops: Generalised Homothety Theorem

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.

Original Title

Every Nonlinear Element from Chua's Table Can Generate Pinched Hysteresis Loops: Generalised Homothety Theorem

English Title

Every Nonlinear Element from Chua's Table Can Generate Pinched Hysteresis Loops: Generalised Homothety Theorem

Type

WoS Article

Original Abstract

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 generalized homothety theorem is introduced, which describes the regularities of such a hysteresis and its frequency dependence.

English abstract

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 generalized homothety theorem is introduced, which describes the regularities of such a hysteresis and its frequency dependence.

Keywords

MEMRISTORS, memcapacitors, meminductors, higher-order elements, pinched hysteresis loop, homothety, fingerprint

Key words in English

MEMRISTORS, memcapacitors, meminductors, higher-order elements, pinched hysteresis loop, homothety, fingerprint

Authors

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.

RIV year

2017

Released

09.10.2016

Publisher

IET, The Institution of Engineering and Technology

Location

London, UK

ISBN

0013-5194

Periodical

ELECTRONICS LETTERS

Volume

52

Number

21

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1744

Pages to

1746

Pages count

3

URL

http://digital-library.theiet.org/deliver/fulltext/el/52/21/EL.2016.2961.pdf

Full text in the Digital Library

http://hdl.handle.net/11012/203149

BibTex

@article{BUT129544,
  author="Dalibor {Biolek} and Zdeněk {Biolek} and Viera {Biolková}",
  title="Every Nonlinear Element from Chua's Table Can Generate Pinched Hysteresis Loops: Generalised Homothety Theorem",
  journal="ELECTRONICS LETTERS",
  year="2016",
  volume="52",
  number="21",
  pages="1744--1746",
  doi="10.1049/el.2016.2961",
  issn="0013-5194",
  url="http://digital-library.theiet.org/deliver/fulltext/el/52/21/EL.2016.2961.pdf"
}

Documents

el.2016.2961