A memristor-based chaotic system with bifurcation analysis

Xiaofang Hu; Gang Feng; Shukai Duan; Weihong Yin; Guanrong Chen

doi:10.1109/CICN.2014.81

A memristor-based chaotic system with bifurcation analysis

Xiaofang Hu, Gang Feng, Shukai Duan, Weihong Yin, Guanrong Chen

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

3 Citations (Scopus)

Abstract

This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO2 memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.

Original language	English
Title of host publication	Proceedings - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014
Publisher	IEEE
Pages	329-333
ISBN (Print)	9781479969296
DOIs	https://doi.org/10.1109/CICN.2014.81
Publication status	Published - 23 Mar 2014
Event	2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014 - Bhopal, India Duration: 14 Nov 2014 → 16 Nov 2014

Conference

Conference	2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014
Place	India
City	Bhopal
Period	14/11/14 → 16/11/14

Research Keywords

bifurcation analysis
chaos
chaotic attractor
Lyapunov exponent
memristors

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10.1109/CICN.2014.81

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title = "A memristor-based chaotic system with bifurcation analysis",

abstract = "This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO2 memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.",

keywords = "bifurcation analysis, chaos, chaotic attractor, Lyapunov exponent, memristors",

author = "Xiaofang Hu and Gang Feng and Shukai Duan and Weihong Yin and Guanrong Chen",

year = "2014",

month = mar,

day = "23",

doi = "10.1109/CICN.2014.81",

language = "English",

isbn = "9781479969296",

pages = "329--333",

booktitle = "Proceedings - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014",

publisher = "IEEE",

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note = "2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014 ; Conference date: 14-11-2014 Through 16-11-2014",

}

Hu, X, Feng, G, Duan, S, Yin, W & Chen, G 2014, A memristor-based chaotic system with bifurcation analysis. in Proceedings - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014., 7065500, IEEE, pp. 329-333, 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014, Bhopal, India, 14/11/14. https://doi.org/10.1109/CICN.2014.81

A memristor-based chaotic system with bifurcation analysis. / Hu, Xiaofang; Feng, Gang; Duan, Shukai et al.
Proceedings - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014. IEEE, 2014. p. 329-333 7065500.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - A memristor-based chaotic system with bifurcation analysis

AU - Hu, Xiaofang

AU - Feng, Gang

AU - Duan, Shukai

AU - Yin, Weihong

AU - Chen, Guanrong

PY - 2014/3/23

Y1 - 2014/3/23

N2 - This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO2 memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.

AB - This paper proposes and investigates a memristor-based chaotic system by incorporating an HP TiO2 memristor into the canonical Chen's chaotic system. More precisely, a charge-controlled memristor model with some appropriate boundary conditions is introduced. The relationship between the electric charge and the flux passing through the memristor is formulated and then employed as a nonlinear term in the constructed chaotic system. The rich dynamical behaviors of the memristor-based system are demonstrated by calculating the Lyapunov exponent spectrum and Lyapunov dimension, observing the chaotic attractors, analyzing the bifurcations.

KW - bifurcation analysis

KW - chaos

KW - chaotic attractor

KW - Lyapunov exponent

KW - memristors

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DO - 10.1109/CICN.2014.81

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781479969296

SP - 329

EP - 333

BT - Proceedings - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014

PB - IEEE

T2 - 2014 6th International Conference on Computational Intelligence and Communication Networks, CICN 2014

Y2 - 14 November 2014 through 16 November 2014

ER -

A memristor-based chaotic system with bifurcation analysis

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