A new butterfly-shaped attractor of Lorenz-like system

Liu Chongxin; Liu Ling; Liu Tao; Li Peng

doi:10.1016/j.chaos.2004.09.111

A new butterfly-shaped attractor of Lorenz-like system

Liu Chongxin
, Liu Ling
, Liu Tao
, Li Peng

科研成果: 期刊稿件 › 文章 › 同行评审

41 引用（Scopus）

摘要

In this letter a new butterfly-shaped chaotic attractor is reported. Some basic dynamical properties, such as Poincare mapping, Lyapunov exponents, fractal dimension, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied. Furthermore, we clarify that the chaotic attractors of the system is a compound structure obtained by merging together two simple attractors through a mirror operation.

源语言	英语
页（从-至）	1196-1203
页数	8
期刊	Chaos, Solitons and Fractals
卷	28
期	5
DOI	https://doi.org/10.1016/j.chaos.2004.09.111
出版状态	已出版 - 6月 2006
已对外发布	是

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10.1016/j.chaos.2004.09.111

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abstract = "In this letter a new butterfly-shaped chaotic attractor is reported. Some basic dynamical properties, such as Poincare mapping, Lyapunov exponents, fractal dimension, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied. Furthermore, we clarify that the chaotic attractors of the system is a compound structure obtained by merging together two simple attractors through a mirror operation.",

author = "Liu Chongxin and Liu Ling and Liu Tao and Li Peng",

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AU - Ling, Liu

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AU - Peng, Li

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N2 - In this letter a new butterfly-shaped chaotic attractor is reported. Some basic dynamical properties, such as Poincare mapping, Lyapunov exponents, fractal dimension, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied. Furthermore, we clarify that the chaotic attractors of the system is a compound structure obtained by merging together two simple attractors through a mirror operation.

AB - In this letter a new butterfly-shaped chaotic attractor is reported. Some basic dynamical properties, such as Poincare mapping, Lyapunov exponents, fractal dimension, continuous spectrum and chaotic dynamical behaviors of the new chaotic system are studied. Furthermore, we clarify that the chaotic attractors of the system is a compound structure obtained by merging together two simple attractors through a mirror operation.

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U2 - 10.1016/j.chaos.2004.09.111

DO - 10.1016/j.chaos.2004.09.111

M3 - 文章

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JO - Chaos, Solitons and Fractals

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A new butterfly-shaped attractor of Lorenz-like system

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