A nonvolatile fractional order memristor model and its complex dynamics

Jian Wu, Guangyi Wang, Herbert Ho Ching Iu, Yiran Shen, Wei Zhou

Research output: Contribution to journalArticle

Abstract

It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt-ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor's parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.

Original languageEnglish
Article number955
JournalEntropy
Volume21
Issue number10
DOIs
Publication statusPublished - 1 Oct 2019

Fingerprint

inductors
roads
dynamic characteristics
capacitors
plots
electric potential
curves
pulses
excitation
simulation

Cite this

Wu, Jian ; Wang, Guangyi ; Iu, Herbert Ho Ching ; Shen, Yiran ; Zhou, Wei. / A nonvolatile fractional order memristor model and its complex dynamics. In: Entropy. 2019 ; Vol. 21, No. 10.
@article{e7e2713915f146d4952abb4f27c3f281,
title = "A nonvolatile fractional order memristor model and its complex dynamics",
abstract = "It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt-ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor's parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.",
keywords = "Chaos, Complex dynamics, Fractional order, Memristor",
author = "Jian Wu and Guangyi Wang and Iu, {Herbert Ho Ching} and Yiran Shen and Wei Zhou",
year = "2019",
month = "10",
day = "1",
doi = "10.3390/e21100955",
language = "English",
volume = "21",
journal = "Entropy",
issn = "1099-4300",
publisher = "MDPI AG",
number = "10",

}

A nonvolatile fractional order memristor model and its complex dynamics. / Wu, Jian; Wang, Guangyi; Iu, Herbert Ho Ching; Shen, Yiran; Zhou, Wei.

In: Entropy, Vol. 21, No. 10, 955, 01.10.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A nonvolatile fractional order memristor model and its complex dynamics

AU - Wu, Jian

AU - Wang, Guangyi

AU - Iu, Herbert Ho Ching

AU - Shen, Yiran

AU - Zhou, Wei

PY - 2019/10/1

Y1 - 2019/10/1

N2 - It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt-ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor's parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.

AB - It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt-ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor's parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.

KW - Chaos

KW - Complex dynamics

KW - Fractional order

KW - Memristor

UR - http://www.scopus.com/inward/record.url?scp=85074044771&partnerID=8YFLogxK

U2 - 10.3390/e21100955

DO - 10.3390/e21100955

M3 - Article

VL - 21

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 10

M1 - 955

ER -