| 低阶大气环流模型的稳定性与分岔分析 |
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| 引用本文： | 王虎,于永光,闻国光.低阶大气环流模型的稳定性与分岔分析[J].北方交通大学学报,2014(3):152-157. |
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| 作者姓名： | 王虎 于永光 闻国光 |
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| 作者单位： | 北京交通大学理学院,北京100044 |
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| 基金项目： | 国家自然科学基金资助项目（11371049）;中央高校基本科研业务费专项资金资助（2011JBM130） |
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| 摘 要： | 研究了低阶大气环流模型的稳定性和分岔性质.用李亚普诺夫方法和定性理论分析了模型的稳定性,证明了全局一致渐进稳定和极限环的存在性,并给出了低阶大气环流模型的分岔条件.此外,研究了模型的Hopf分岔,并用规范形理论得到了Hopf分岔临界状态,最后运用数值仿真对所给的定理和条件进行了验证.
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| 关 键 词： | 稳定性 Hopf分岔 规范形 低阶大气环流模型 |
Stability and bifurcation analysis of a low-order atmospheric circulation model |
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| WANG Hu,YU Yongguang,WEN Guoguang.Stability and bifurcation analysis of a low-order atmospheric circulation model[J].Journal of Northern Jiaotong University,2014(3):152-157. |
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| Authors: | WANG Hu YU Yongguang WEN Guoguang |
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| Institution: | ( School of Science, Beijing Jiaotong University, Beijing 100044, China) |
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| Abstract: | In this paper,based on the qualitative theory of differential equation,the stability and local bifurcation about the low-order atmospheric circulation model are investigated.The global uniform asymptotic stability and existence of limit cycles in the low-order atmospheric circulation model are discussed under some conditions.By using the normal form theory,the conditions of the supercritical and subcritical Hopf bifurcation are derived. |
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| Keywords: | stability Hopf bifurcation normal form theory low-order atmospheric circulation model |
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