Publication result detail

Fracmemristor chaotic oscillator with multistable and antimonotonicity properties

PETRŽELA, J.; LU, H.; GÖTTHANS, T.; RAJAGOPAL, K.; SAJAD, J.; HUSSAIN, I.

Original Title

Fracmemristor chaotic oscillator with multistable and antimonotonicity properties

English Title

Fracmemristor chaotic oscillator with multistable and antimonotonicity properties

Type

WoS Article

Original Abstract

Memristor is a non-linear circuit element in which voltage-current relationship is determined by the previous values of the voltage and current, generally the history of the circuit. The nonlinearity in this component can be considered as a fractional-order form, which yields a fractional memristor (fracmemristor). In this paper, a fractional-order memristor in a chaotic oscillator is applied, while the other electronic elements are of integer order. The fractional-order range is determined in a way that the circuit has chaotic solutions. Also, the statistical and dynamical features of this circuit are analyzed. Tools like Lyapunov exponents and bifurcation diagram show the existence of multistability and antimonotonicity, two less common properties in chaotic circuits.

English abstract

Memristor is a non-linear circuit element in which voltage-current relationship is determined by the previous values of the voltage and current, generally the history of the circuit. The nonlinearity in this component can be considered as a fractional-order form, which yields a fractional memristor (fracmemristor). In this paper, a fractional-order memristor in a chaotic oscillator is applied, while the other electronic elements are of integer order. The fractional-order range is determined in a way that the circuit has chaotic solutions. Also, the statistical and dynamical features of this circuit are analyzed. Tools like Lyapunov exponents and bifurcation diagram show the existence of multistability and antimonotonicity, two less common properties in chaotic circuits.

Keywords

memristor; fracmemristor; chaotic oscillators; multistability; antimonotonicity

Key words in English

memristor; fracmemristor; chaotic oscillators; multistability; antimonotonicity

Authors

PETRŽELA, J.; LU, H.; GÖTTHANS, T.; RAJAGOPAL, K.; SAJAD, J.; HUSSAIN, I.

RIV year

2021

Released

17.06.2020

Publisher

Elsevier

Location

Egypt

ISBN

2090-1232

Periodical

Journal of Advanced Research

Volume

25

Number

1

State

Arab Republic of Egypt

Pages from

1

Pages to

9

Pages count

9

URL

https://www.sciencedirect.com/science/article/pii/S2090123220301089

Full text in the Digital Library

http://hdl.handle.net/11012/195247

BibTex

@article{BUT164582,
  author="Haikong {Lu} and Jiří {Petržela} and Tomáš {Götthans} and Karthikeyan {Rajagopal} and Jafari {Sajad} and Iqtadar {Hussain}",
  title="Fracmemristor chaotic oscillator with multistable and antimonotonicity properties",
  journal="Journal of Advanced Research",
  year="2020",
  volume="25",
  number="1",
  pages="1--9",
  doi="10.1016/j.jare.2020.05.025",
  issn="2090-1232",
  url="https://www.sciencedirect.com/science/article/pii/S2090123220301089"
}

Documents

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