一類三維耦合混沌系統的動力學分析與數值模擬

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一類三維耦合混沌系統的動力學分析與數值模擬

王博, 張曉丹

文章導航 > 工程科學學報 > 2007 > 29(6): 636-640

王博, 張曉丹. 一類三維耦合混沌系統的動力學分析與數值模擬[J]. 工程科學學報, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

引用本文:

王博, 張曉丹. 一類三維耦合混沌系統的動力學分析與數值模擬[J]. 工程科學學報, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

Citation:

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

王博, 張曉丹. 一類三維耦合混沌系統的動力學分析與數值模擬[J]. 工程科學學報, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

引用本文:

王博, 張曉丹. 一類三維耦合混沌系統的動力學分析與數值模擬[J]. 工程科學學報, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

Citation:

WANG Bo, ZHANG Xiaodan. Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system[J]. Chinese Journal of Engineering, 2007, 29(6): 636-640. doi: 10.13374/j.issn1001-053x.2007.06.042

一類三維耦合混沌系統的動力學分析與數值模擬

doi: 10.13374/j.issn1001-053x.2007.06.042

王博,
張曉丹

北京科技大學應用科學學院, 北京 100083

基金項目:

國家自然科學基金資助項目(No.70271068)

作者簡介:
王博(1980-),男,碩士研究生;張曉丹(1959-),女,教授

中圖分類號: O415.5
計量
- 文章訪問數: 125
- HTML全文瀏覽量: 22
- PDF下載量: 6
- 被引次數: 0
出版歷程
- 收稿日期: 2006-03-20
- 修回日期: 2006-12-01
- 網絡出版日期: 2021-08-16

Dynamic analysis and numerical simulation of a kind of 3-dimensional hybrid chaotic system

Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

摘要: 通過對一個三維不穩定線性系統添加非連續狀態反饋控制項,即一個分段線性控制開關,從而構造出一種新的幾何對象,實現了三線性系統耦合混沌控制.對一類三維耦合混沌系統的動力學性質進行了理論分析,給出了與此類系統動力學性質相關的三個定理.數值模擬及計算全部Lyapunov指數驗證了該三維耦合系統確實存在混沌.
- 線性微分系統 /
- 混沌反控制 /
- 耦合系統 /
- 數值模擬 /
- Lyapunov指數
Abstract: A kind of 3-dimensional three-linear hybrid chaotic system was achieved by adding feedback control item under discontinuous state, which is a switching type of piecewise-linear controller to a 3-dimensional unstable linear system. Systemic dynamic analysis was accomplished for a kind of three-linear hybrid chaotic system, and three theorems were given. Numeric simulation and calculating all Lyapunov exponents verify their chaos.
- linear differential system /
- anti-control of chaos /
- hybrid system /
- numerical simulation /
- lyapunov exponent

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文章訪問數: 125
HTML全文瀏覽量: 22
PDF下載量: 6
被引次數: 0

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