| 一类非线性系统的稳定性及分岔分析 |
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| 引用本文： | 张宇功,常胜,王小斌. 一类非线性系统的稳定性及分岔分析[J]. 云南民族学院学报(自然科学版), 2014, 0(1): 52-57 |
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| 作者姓名： | 张宇功 常胜 王小斌 |
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| 作者单位： | 兰州交通大学数理学院,甘肃兰州730070 |
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| 基金项目： | 甘肃省国际科技合作计划项目（1104WCGA195）;甘肃省自然科学基金（1208RJZA111） |
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| 摘 要： | 应用中心流形对一类含有二次和三次非线性项的Duffing系统降维，并数值模拟出其分岔图及Lyapunov指数图，对其进行分析，进一步研究其稳定性及分岔特性．
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| 关 键 词： | 中心流形 稳定性 分岔 数值仿真 |
Stability and bifurcation of a class of nonlinear systems |
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| ZHANG Yu-gong,CHANG Sheng,WANG Xiao-bin. Stability and bifurcation of a class of nonlinear systems[J]. Journal of Yunnan University of The Nationalities(Natural Sciences Edition), 2014, 0(1): 52-57 |
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| Authors: | ZHANG Yu-gong CHANG Sheng WANG Xiao-bin |
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| Affiliation: | g ( School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070 , China) |
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| Abstract: | A class of Duffing system containing square and cubic nonlinear terms is simplified by the center manifold theory, and the bifurcation diagram and lyapunov exponent graphs are numerically simulated. Its stability and bifurcation are discussed. |
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| Keywords: | the center manifold stability bifurcation numerical simulation |
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