Detail publikačního výsledku

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

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

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2021

Vydáno

01.12.2020

Nakladatel

IEEE

Místo

PISCATAWAY

ISSN

2169-3536

Periodikum

IEEE Access

Svazek

8

Číslo

1

Stát

Spojené státy americké

Strany od

199179

Strany do

199186

Strany počet

8

URL

Plný text v Digitální knihovně

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"
}

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