| 一类三维混沌系统的Hopf分岔 |
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| 引用本文： | 李福琴,涂金忠. 一类三维混沌系统的Hopf分岔[J]. 科学技术与工程, 2010, 10(5) |
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| 作者姓名： | 李福琴 涂金忠 |
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| 作者单位： | 1. 三峡大学科技学院,宜昌,443002
2. 湖北省宜昌县小溪塔高中,宜昌,443002 |
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| 摘 要： | 通过CCEBC方法讨论一类带两个平方项的三维混沌系统的动力学行为。其次,运用the first Lypaunov coefficient方法研究混沌系统的Hopf分岔,得到了系统发生亚临界或超临界Hopf分岔的区间范围。
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| 关 键 词： | Hopf分岔 混沌系统 the first Lypaunov coefficient |
| 收稿时间： | 2009-10-30 |
| 修稿时间： | 2010-01-15 |
Hopf bifurcation analysis of a 3D chaotic system |
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| LiFuqin and tujinzhong. Hopf bifurcation analysis of a 3D chaotic system[J]. Science Technology and Engineering, 2010, 10(5) |
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| Authors: | LiFuqin and tujinzhong |
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| Affiliation: | Institue of Science and Technology of Three Gorge University/a>;Yichang 443002/a>;P.R.China/a>;Xiaoxita Senior Middle School of Yichang City1/a>;P.R.China |
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| Abstract: | A 3D chaotic system is analyzed dynamical behaviors via the complementary-cluster energy-barrier criterion(CCEBC).Moreover the Hopf bifurcation of this system is also investigated by using of the first Lyapunov coefficient.Finally,the system presents a Hopf bifurcation which is subcritical or supercritical in different intervals. |
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| Keywords: | Hopf bifurcation the chaotic system the first Lyapunov coefficient |
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