A New Five-Dimension Chaotic Lorenz System
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- 英文论文题名：A New Five-Dimension Chaotic Lorenz System
- 论文作者：Zunshui Cheng ; Congcong Zhou ; Yun Shang
- 英文论文作者：Zunshui Cheng ; Congcong Zhou ; Yun Shang ; School of Mathematics and Physics ; Qingdao University of Science and Technology ; Research Center for Complex Systems and Network Sciences ; and Department of Mathematics ; Southeast University
- 年：2017
- 作者机构：School of Mathematics and Physics,Qingdao University of Science and Technology;Research Center for Complex Systems and Network Sciences,and Department of Mathematics,Southeast University;
- 英文论文关键词：Chaos ; Lyapunov exponents ; attractor ; periodic
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O415.5
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：5
- 文件大小：1412k
- 原文格式：D
- 会议级别：全国
摘要
This paper develop a new five-dimension chaotic Lorenz system, and it is obtained by adding two nonlinear control and improve the typical three-dimension Lorenz system. This five-dimension system is discussed by Lyapunov exponents, phase diagram and the exponential time domain waveform. The numerical simulations can be show the chaotic, periodic, convergent behavior as the parameter change.
This paper develop a new five-dimension chaotic Lorenz system, and it is obtained by adding two nonlinear control and improve the typical three-dimension Lorenz system. This five-dimension system is discussed by Lyapunov exponents, phase diagram and the exponential time domain waveform. The numerical simulations can be show the chaotic, periodic, convergent behavior as the parameter change.
This paper develop a new five-dimension chaotic Lorenz system, and it is obtained by adding two nonlinear control and improve the typical three-dimension Lorenz system. This five-dimension system is discussed by Lyapunov exponents, phase diagram and the exponential time domain waveform. The numerical simulations can be show the chaotic, periodic, convergent behavior as the parameter change.
引文
[1]T.Gao,Z.Chen,Q.Gu,and Z.Yuan,"A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback,"Chaos Solitons&Fractals,vol.35,pp.390-397,2008.
[2]J.P.Singh and B.K.Roy,"Crisis and inverse crisis route to chaos in a new 3-D chaotic system with saddle,saddle foci and stable node foci nature of equilibria,"Optik-International Journal for Light and Electron Optics,vol.127,pp.11982-12002,2016.
[3]Q.Li,H.Zeng,"Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria,"Nonlinear Dynamics,vol.79,pp.2295-2308,2014.
[4]C.X.Liu,"A novel four-dimensional autonomous hyperchaotic system,"Chinese Physics B,vol.18,pp.2188-2193,2009.
[5]G.Qi,G.Chen,S.Du,Z.Chen,"Analysis of a new chaotic system,"Physica A Statistical Mechanics&Its Applications,vol.352,pp.295–308,2005.
[6]Q.Jia,"Hyperchaos generated from the Lorenz chaotic system and its control,"Physics Letters A,vol.366,pp.217-222,2007.
[7]F.Zhang and G.Zhang,"Dynamical analysis of the hyperchaos Lorenz system,"Complexity,vol.91,pp.656-670,2016.
[8]A.Khan and A.Tyagi,"Analysis and hyper-chaos control of a new 4-D hyper-chaotic system by using optimal and adaptive control design,"International Journal of Dynamics&Control,pp.1-9,2016.
[9]C.L.Li,J.B.Xiong,and W.Li,"A new hyperchaotic system and its generalized synchronization,"OptikInternational Journal for Light and Electron Optics,vol.125,pp.575-579,2014.
[10]X.Wang and M.Wang,"A hyperchaos generated from Lorenz system,"Physica A Statistical Mechanics&Its Applications,vol.387,pp.3751-3758,2008.
[2]J.P.Singh and B.K.Roy,"Crisis and inverse crisis route to chaos in a new 3-D chaotic system with saddle,saddle foci and stable node foci nature of equilibria,"Optik-International Journal for Light and Electron Optics,vol.127,pp.11982-12002,2016.
[3]Q.Li,H.Zeng,"Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria,"Nonlinear Dynamics,vol.79,pp.2295-2308,2014.
[4]C.X.Liu,"A novel four-dimensional autonomous hyperchaotic system,"Chinese Physics B,vol.18,pp.2188-2193,2009.
[5]G.Qi,G.Chen,S.Du,Z.Chen,"Analysis of a new chaotic system,"Physica A Statistical Mechanics&Its Applications,vol.352,pp.295–308,2005.
[6]Q.Jia,"Hyperchaos generated from the Lorenz chaotic system and its control,"Physics Letters A,vol.366,pp.217-222,2007.
[7]F.Zhang and G.Zhang,"Dynamical analysis of the hyperchaos Lorenz system,"Complexity,vol.91,pp.656-670,2016.
[8]A.Khan and A.Tyagi,"Analysis and hyper-chaos control of a new 4-D hyper-chaotic system by using optimal and adaptive control design,"International Journal of Dynamics&Control,pp.1-9,2016.
[9]C.L.Li,J.B.Xiong,and W.Li,"A new hyperchaotic system and its generalized synchronization,"OptikInternational Journal for Light and Electron Optics,vol.125,pp.575-579,2014.
[10]X.Wang and M.Wang,"A hyperchaos generated from Lorenz system,"Physica A Statistical Mechanics&Its Applications,vol.387,pp.3751-3758,2008.