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一个超混沌Lorenz系统的全局指数吸引集及应用 被引量：1

Globally Exponentially Attractive Set of a Hyperchaotic Lorenz Chaotic System and Its Application
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摘要 利用广义Lapunov理论和优化理论研究了一个超混沌Lorenz系统的全局指数吸引集和正向不变集,并且利用得到的结果研究了该系统的全局指数同步性,通过数值仿真验证了理论的可行性。 This paper investigates the globally exponentially attractive and positively invariant set for a hyperchaotic Lorenz chaotic system with the help of the generalized Lyapunov function and optimationtheory. And the result is applied to study the globally exponentially synchronization. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.
作者 胥红星
机构地区 郑州航空工业管理学院
出处 《重庆理工大学学报（自然科学）》 CAS 2012年第7期110-114,122,共6页 Journal of Chongqing University of Technology：Natural Science
基金 国家自然科学基金青年项目(70901013) 郑州航空工业管理学院青年基金资助项目(2010013004)
关键词 全局指数吸引集 混沌 同步 the globally exponentially attractive set chaos synchronization
分类号 O175.14 [理学—基础数学] O415.5 [理学—理论物理]
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参考文献2

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  • 1廖晓昕.论Lorenz混沌系统全局吸引集和正向不变集的新结果及对混沌控制与同步的应用[J].中国科学（E辑）,2004,34(12):1404-1419. 被引量：19
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  • 10Yu P, Liao X X. New estimates for globally attracvtive and positive invariant set ofyhe family of the Lorenz system. Int J Bifurcation & Chaos, 2006, 16(11): 3383--3390.

共引文献42

同被引文献23

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引证文献1

二级引证文献4

重庆理工大学学报（自然科学）
2012年 第7期

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