The generation and circuit implementation of a new hyper-chaos based upon Lorenz system

Tiegang Gao; Guanrong Chen; Zengqiang Chen; Shijian Cang

doi:10.1016/j.physleta.2006.09.042

The generation and circuit implementation of a new hyper-chaos based upon Lorenz system

Tiegang Gao
, Guanrong Chen
, Zengqiang Chen
, Shijian Cang

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

133 Citations (Scopus)

Abstract

This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	78-86
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	361
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2006.09.042
Publication status	Published - 22 Jan 2007

Research Keywords

Bifurcation
Chaos
Circuit implementation
Hyper-chaos
Lorenz system

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10.1016/j.physleta.2006.09.042

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abstract = "This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Bifurcation, Chaos, Circuit implementation, Hyper-chaos, Lorenz system",

author = "Tiegang Gao and Guanrong Chen and Zengqiang Chen and Shijian Cang",

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TY - JOUR

T1 - The generation and circuit implementation of a new hyper-chaos based upon Lorenz system

AU - Gao, Tiegang

AU - Chen, Guanrong

AU - Chen, Zengqiang

AU - Cang, Shijian

PY - 2007/1/22

Y1 - 2007/1/22

N2 - This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results. © 2006 Elsevier B.V. All rights reserved.

AB - This Letter presents a new hyper-chaotic system, which was obtained by adding a nonlinear quadratic controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. The resulting hyper-chaotic system undergoes a change from hyper-chaos to limit cycle with some of its parameters changed. The phenomena were demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. The experiment results of the hyper-chaotic circuit were well agreed with the simulation results. © 2006 Elsevier B.V. All rights reserved.

KW - Bifurcation

KW - Chaos

KW - Circuit implementation

KW - Hyper-chaos

KW - Lorenz system

UR - https://www.scopus.com/pages/publications/33751421509

UR - https://www.scopus.com/pages/publications/33751421509#tab=impact

U2 - 10.1016/j.physleta.2006.09.042

DO - 10.1016/j.physleta.2006.09.042

M3 - RGC 21 - Publication in refereed journal

SN - 0375-9601

VL - 361

SP - 78

EP - 86

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

The generation and circuit implementation of a new hyper-chaos based upon Lorenz system

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Research Keywords

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