The generation and circuit implementation of a hyperchaos with four-wing

Yuxia Li; Yongchao Cao; Xia Huang; Guanrong Chen

doi:10.1109/IWCFTA.2010.98

The generation and circuit implementation of a hyperchaos with four-wing

Yuxia Li, Yongchao Cao, Xia Huang, 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

Abstract

In this paper, a new four-dimensional continuous-time autonomous hyperchaotic system, which has a complicated four-wing attractor, is formulated by adding a linear controller to a chaotic system. The existence of the hyperchaos is verified with bifurcation analysis and Lyapunov exponent spectrum. The bifurcation routes from periodic, chaotic to hyperchaotic evolutions are observed simultaneously. The essential dynamical behaviors are demonstrated not only by numerical simulation but also by circuit realization. © 2010 IEEE.

Original language	English
Title of host publication	Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010
Pages	280-283
DOIs	https://doi.org/10.1109/IWCFTA.2010.98
Publication status	Published - 2010
Event	3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 - Kunming, Yunnan, China Duration: 29 Oct 2010 → 31 Oct 2010

Conference

Conference	3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010
Place	China
City	Kunming, Yunnan
Period	29/10/10 → 31/10/10

Research Keywords

Circuit implementation
Hyperchaos
Lyapunov exponent
Multi-wing attractors

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10.1109/IWCFTA.2010.98

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title = "The generation and circuit implementation of a hyperchaos with four-wing",

abstract = "In this paper, a new four-dimensional continuous-time autonomous hyperchaotic system, which has a complicated four-wing attractor, is formulated by adding a linear controller to a chaotic system. The existence of the hyperchaos is verified with bifurcation analysis and Lyapunov exponent spectrum. The bifurcation routes from periodic, chaotic to hyperchaotic evolutions are observed simultaneously. The essential dynamical behaviors are demonstrated not only by numerical simulation but also by circuit realization. {\textcopyright} 2010 IEEE.",

keywords = "Circuit implementation, Hyperchaos, Lyapunov exponent, Multi-wing attractors",

author = "Yuxia Li and Yongchao Cao and Xia Huang and Guanrong Chen",

year = "2010",

doi = "10.1109/IWCFTA.2010.98",

language = "English",

isbn = "9780769542478",

pages = "280--283",

booktitle = "Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010",

note = "3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 ; Conference date: 29-10-2010 Through 31-10-2010",

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Li, Y, Cao, Y, Huang, X & Chen, G 2010, The generation and circuit implementation of a hyperchaos with four-wing. in Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010., 5671164, pp. 280-283, 3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010, Kunming, Yunnan, China, 29/10/10. https://doi.org/10.1109/IWCFTA.2010.98

The generation and circuit implementation of a hyperchaos with four-wing. / Li, Yuxia; Cao, Yongchao; Huang, Xia et al.
Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010. 2010. p. 280-283 5671164.

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

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N2 - In this paper, a new four-dimensional continuous-time autonomous hyperchaotic system, which has a complicated four-wing attractor, is formulated by adding a linear controller to a chaotic system. The existence of the hyperchaos is verified with bifurcation analysis and Lyapunov exponent spectrum. The bifurcation routes from periodic, chaotic to hyperchaotic evolutions are observed simultaneously. The essential dynamical behaviors are demonstrated not only by numerical simulation but also by circuit realization. © 2010 IEEE.

AB - In this paper, a new four-dimensional continuous-time autonomous hyperchaotic system, which has a complicated four-wing attractor, is formulated by adding a linear controller to a chaotic system. The existence of the hyperchaos is verified with bifurcation analysis and Lyapunov exponent spectrum. The bifurcation routes from periodic, chaotic to hyperchaotic evolutions are observed simultaneously. The essential dynamical behaviors are demonstrated not only by numerical simulation but also by circuit realization. © 2010 IEEE.

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KW - Hyperchaos

KW - Lyapunov exponent

KW - Multi-wing attractors

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BT - Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010

T2 - 3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010

Y2 - 29 October 2010 through 31 October 2010

ER -

The generation and circuit implementation of a hyperchaos with four-wing

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