| STUDY ON A THREE DIMENSIONAL CHAOTIC SYSTEM |
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| 引用本文： | Yao Sisheng (Dept. of Math.,Kunming Teachers College,Kunming 650031) Zhao Xiaohua (Dept. of Math.,Zhejiang Normal University,Jinhua 321004). STUDY ON A THREE DIMENSIONAL CHAOTIC SYSTEM[J]. Annals of Differential Equations, 2006, 22(2): 217-224 |
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| 作者姓名： | Yao Sisheng (Dept. of Math. Kunming Teachers College Kunming 650031) Zhao Xiaohua (Dept. of Math. Zhejiang Normal University Jinhua 321004) |
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| 作者单位： | Yao Sisheng (Dept. of Math.，Kunming Teachers College，Kunming 650031) Zhao Xiaohua (Dept. of Math.，Zhejiang Normal University，Jinhua 321004) |
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| 基金项目： | Supported by the NNSF of China (No.10472100). |
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| 摘 要： | In this letter a new chaotic system is discussed. Some basic dynamic properties, such as symmetry, dissipation, continuous spectrum and chaotic behaviors of the butterfly attractor are studied. Furthermore, period-doubling bifurcations in a system with definite parameters has been investigated.
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| 关 键 词： | 不变量 耗散 三维系统 混乱系统 动态性 连续光谱 数学分析 |
STUDY ON A THREE DIMENSIONAL CHAOTIC SYSTEM |
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| Yao Sisheng Zhao Xiaohua. STUDY ON A THREE DIMENSIONAL CHAOTIC SYSTEM[J]. 微分方程年刊(英文版), 2006, 22(2): 217-224 |
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| Authors: | Yao Sisheng Zhao Xiaohua |
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| Affiliation: | [1]Dept. of Math., Kunming Teachers College, Kunming 650031 [2]Dept. of Math., Zhejiang Normal University, Jinhua 321004 |
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| Abstract: | In this letter a new chaotic system is discussed. Some basic dynamic properties, such as symmetry, dissipation, continuous spectrum and chaotic behaviors of the butterfly attractor are studied. Furthermore, period-doubling bifurcations in a system with definite parameters has been investigated. |
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| Keywords: | invariant dissipation three dimensional system chaotic system |
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