Detail publikačního výsledku

Duality of Complex Systems Built from Higher-Order Elements

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.

Original Title

Duality of Complex Systems Built from Higher-Order Elements

English Title

Duality of Complex Systems Built from Higher-Order Elements

Type

WoS Article

Original Abstract

The duality of nonlinear systems built from higher-order two-terminal Chua’s elements and independent voltage and current sources is analyzed. Two different approaches are now being generalized for circuits with higher-order elements: the classical duality principle, hitherto restricted to circuits built from R-C-L elements, and Chua’s duality of memristive circuits. The so-called storeyed structure of fundamental elements is used as an integrating platform of both approaches. It is shown that the combination of associated flip-type and shift-type transformations of the circuit elements can generate dual networks with interesting features. The regularities of the duality can be used for modeling, hardware emulation or synthesis of systems built from elements that are not commonly available, such as memristors, via classical dual elements.

English abstract

The duality of nonlinear systems built from higher-order two-terminal Chua’s elements and independent voltage and current sources is analyzed. Two different approaches are now being generalized for circuits with higher-order elements: the classical duality principle, hitherto restricted to circuits built from R-C-L elements, and Chua’s duality of memristive circuits. The so-called storeyed structure of fundamental elements is used as an integrating platform of both approaches. It is shown that the combination of associated flip-type and shift-type transformations of the circuit elements can generate dual networks with interesting features. The regularities of the duality can be used for modeling, hardware emulation or synthesis of systems built from elements that are not commonly available, such as memristors, via classical dual elements.

Keywords

duality; memristor; higher-order element; storeyed structure

Key words in English

duality; memristor; higher-order element; storeyed structure

Authors

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.

RIV year

2019

Released

07.09.2018

Publisher

Hindawi

Location

USA

ISBN

1076-2787

Periodical

COMPLEXITY

Volume

2018

Number

1

State

United States of America

Pages from

1

Pages to

15

Pages count

15

URL

http://dx.doi.org/10.1155/2018/5719397

Full text in the Digital Library

http://hdl.handle.net/11012/137213

BibTex

@article{BUT150206,
  author="Dalibor {Biolek} and Zdeněk {Biolek} and Viera {Biolková}",
  title="Duality of Complex Systems Built from Higher-Order Elements",
  journal="COMPLEXITY",
  year="2018",
  volume="2018",
  number="1",
  pages="1--15",
  doi="10.1155/2018/5719397",
  issn="1076-2787",
  url="http://dx.doi.org/10.1155/2018/5719397"
}

Documents

5719397