Antimonotonicity and multistability in a fractional order memristive chaotic oscillator

Chao Yang Chen; Karthikeyan Rajagopal; Ibrahim Ismael Hamarash; Fahimeh Nazarimehr; Fawaz E. Alsaadi; Tasawar Hayat

doi:10.1140/epjst/e2019-800222-7

Antimonotonicity and multistability in a fractional order memristive chaotic oscillator

Chao Yang Chen
, Karthikeyan Rajagopal
, Ibrahim Ismael Hamarash
, Fahimeh Nazarimehr
, Fawaz E. Alsaadi
, Tasawar Hayat

Hunan University of Science and Technology
Boston University
Defence University, College of Engineering
University of Kurdistan Hewlêr
Amirkabir University of Technology
King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

A memristor diode bridge chaotic circuit is proposed in this paper. The proposed oscillator has only one nonlinear element in the form of memristor. Dynamical properties of the proposed oscillator are investigated. The fractional order model of the oscillator is designed using Grünwald–Letnikov (GL) method. Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before.

Original language	English
Pages (from-to)	1969-1981
Number of pages	13
Journal	European Physical Journal: Special Topics
Volume	228
Issue number	10
DOIs	https://doi.org/10.1140/epjst/e2019-800222-7
State	Published - 1 Oct 2019
Externally published	Yes

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title = "Antimonotonicity and multistability in a fractional order memristive chaotic oscillator",

abstract = "A memristor diode bridge chaotic circuit is proposed in this paper. The proposed oscillator has only one nonlinear element in the form of memristor. Dynamical properties of the proposed oscillator are investigated. The fractional order model of the oscillator is designed using Gr{\"u}nwald–Letnikov (GL) method. Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before.",

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AU - Chen, Chao Yang

AU - Rajagopal, Karthikeyan

AU - Hamarash, Ibrahim Ismael

AU - Nazarimehr, Fahimeh

AU - Alsaadi, Fawaz E.

AU - Hayat, Tasawar

PY - 2019/10/1

Y1 - 2019/10/1

N2 - A memristor diode bridge chaotic circuit is proposed in this paper. The proposed oscillator has only one nonlinear element in the form of memristor. Dynamical properties of the proposed oscillator are investigated. The fractional order model of the oscillator is designed using Grünwald–Letnikov (GL) method. Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before.

AB - A memristor diode bridge chaotic circuit is proposed in this paper. The proposed oscillator has only one nonlinear element in the form of memristor. Dynamical properties of the proposed oscillator are investigated. The fractional order model of the oscillator is designed using Grünwald–Letnikov (GL) method. Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before.

UR - https://www.scopus.com/pages/publications/85073574414

U2 - 10.1140/epjst/e2019-800222-7

DO - 10.1140/epjst/e2019-800222-7

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EP - 1981

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

IS - 10

ER -

Antimonotonicity and multistability in a fractional order memristive chaotic oscillator

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