Publication detail

All Pinched Hysteresis Loops Generated by (alpha, beta) Elements: in What Coordinates They May be Observable

BIOLEK, Z. BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.

Original Title

All Pinched Hysteresis Loops Generated by (alpha, beta) Elements: in What Coordinates They May be Observable

Type

journal article in Web of Science

Language

English

Original Abstract

Two existing theorems for studying pinched hysteresis loops generated by nonlinear higher-order elements from Chua's table are reformulated, namely the generalized homothety theorem and the associated Loop Location Rule, specifying the coordinates where the hysteresis may occur, and the omega(2) criterion theorem for computing the corresponding loop areas. It is demonstrated in this work that the pinched hysteresis loops are also generated in other coordinates than those predicted by the Loop Location Rule, and all these possible coordinates are found. The omega(2) criterion is generalized to computing the areas of all hysteresis loops that may be observable.

Keywords

Constitutive relation; content; co-content; higher-order elements; homothety theorem; pinched hysteresis loop

Authors

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.

Released

1. 12. 2020

Publisher

IEEE

Location

PISCATAWAY

ISBN

2169-3536

Periodical

IEEE Access

Year of study

8

Number

1

State

United States of America

Pages from

199179

Pages to

199186

Pages count

8

URL

https://ieeexplore.ieee.org/document/9244055

Full text in the Digital Library

http://hdl.handle.net/11012/196464

BibTex

@article{BUT167655,
  author="Zdeněk {Biolek} and Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="All Pinched Hysteresis Loops Generated by (alpha, beta) Elements: in What Coordinates They May be Observable",
  journal="IEEE Access",
  year="2020",
  volume="8",
  number="1",
  pages="199179--199186",
  doi="10.1109/ACCESS.2020.3034802",
  issn="2169-3536",
  url="https://ieeexplore.ieee.org/document/9244055"
}