| 一类离散动力系统的混沌研究 |
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| 引用本文： | 于晋臣,张彩艳,彭名书. 一类离散动力系统的混沌研究[J]. 昆明理工大学学报(自然科学版), 2009, 34(4): 101-104. DOI: 10.3969/j.issn.1007-855x.2009.04.022 |
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| 作者姓名： | 于晋臣 张彩艳 彭名书 |
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| 作者单位： | 山东交通学院,山东,济南,250023;山东大学,数学学院,山东,济南,250100;山东电子职业技术学院,山东,济南,250014;北京交通大学,北京,100044 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 主要研究Kopel系统的混沌行为．首先，应用中心流形定理和分岔理论，证明了系统会发生倍周期分岔；然后，通过计算最大李雅普诺夫指数，确定了系统中混沌行为的存在；最后，数值模拟的结果显示了与理论分析的一致性．
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| 关 键 词： | 倍周期分岔 最大李雅普诺夫指数 混沌 中心流形定理 |
Chaotic Study of a Discrete Dynamical System |
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| YU Jin-chen,ZHANG Cai-yan,PENG Ming-shu. Chaotic Study of a Discrete Dynamical System[J]. Journal of Kunming University of Science and Technology(Natural Science Edition), 2009, 34(4): 101-104. DOI: 10.3969/j.issn.1007-855x.2009.04.022 |
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| Authors: | YU Jin-chen ZHANG Cai-yan PENG Ming-shu |
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| Affiliation: | YU Jin-chen, ZHANG Cai-yan, PENG Ming-shu (1. Shandong Jiaotong University, Jinan 250023, China; 2. School of Mathematics, Shandong University, Jinan 250100, China; 3. Shandong College of Electronic Technology, Jinan 250014, China; 4. Beijing Jiaotong University, Beijing 100044, China) |
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| Abstract: | In this paper, the chaos of Kopel system is investigated. Firstly, center manifold theorem and bifurcation theory are applied to prove the emergence of flip bifurcation in the system. Then, the computation of the maximum Lyapunov exponent confirms the existence of chaotic behavior in the model. Finally, the numerical simulation results show the consistence with the theoretical analysis. |
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| Keywords: | period -doubling bifurcation the maximum Lyapunov exponent chaos center manifold theorem |
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