Detail publikace

Fractional-order chaotic memory with wideband constant phase elements

PETRŽELA, J.

Originální název

Fractional-order chaotic memory with wideband constant phase elements

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between zero and one in practice. For each phase shift, all necessary numerical values to design fully passive RC ladder two-terminal circuits are provided. Individual CPEs are easily distinguishable because of a very high accuracy; maximal phase error is less than 1.5° in wide frequency range beginning with 3 Hz and ending with 1 MHz. Secondly, dynamics of ternary memory composed by a series connection of two resonant tunneling diodes is investigated and, consequently, a robust chaotic behavior is discovered and reported. Finally, CPEs are directly used for realization of fractional-order (FO) ternary memory as lumped chaotic oscillator. Existence of structurally stable strange attractors for different orders is proved, both by numerical analyzed and experimental measurement.

Klíčová slova

approximate entropy; admittance function synthesis; constant phase element; chaotic oscillator; fractional-order; frequency response; ternary memory; zeroes and poles

Autoři

PETRŽELA, J.

Vydáno

9. 4. 2020

Nakladatel

MDPI

Místo

Basel, Switzerland

ISSN

1099-4300

Periodikum

ENTROPY

Ročník

22

Číslo

4

Stát

Švýcarská konfederace

Strany od

422

Strany do

455

Strany počet

33

URL

https://www.mdpi.com/1099-4300/22/4/422

Plný text v Digitální knihovně

http://hdl.handle.net/11012/188104

BibTex

@article{BUT163375,
  author="Jiří {Petržela}",
  title="Fractional-order chaotic memory with wideband constant phase elements",
  journal="ENTROPY",
  year="2020",
  volume="22",
  number="4",
  pages="422--455",
  doi="10.3390/e22040422",
  issn="1099-4300",
  url="https://www.mdpi.com/1099-4300/22/4/422"
}