| 实噪声参激Hopf分叉系统研究 |
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| 引用本文： | 刘先斌,陈虬.实噪声参激Hopf分叉系统研究[J].力学学报,1997,29(2):158-166. |
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| 作者姓名： | 刘先斌 陈虬 |
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| 作者单位： | 西南交通大学工程力学系 |
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| 摘 要： | 采用随机平均法、扩散过程的奇点理论、不变测度方法分析了实噪声参激的分叉系统．明确了噪声的影响将使系统出现与原分叉点不同的噪声导致的分叉点，并使分叉类型产生了根本的改变
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| 关 键 词： | 实噪声 参数激励 噪声 随机分叉 |
ON THE HOPF BIFURCATION SYSTEM IN THE PRESENCE OF PARAMETRIC REAL NOISES |
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| Liu Xianbin\ \ Chen Qiu Dept. of Engrg. Mech.,Southwest Jiaotong University,Chengdu ,China.ON THE HOPF BIFURCATION SYSTEM IN THE PRESENCE OF PARAMETRIC REAL NOISES[J].chinese journal of theoretical and applied mechanics,1997,29(2):158-166. |
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| Authors: | Liu Xianbin\ \ Chen Qiu Dept of Engrg Mech Southwest Jiaotong University Chengdu China |
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| Institution: | Liu Xianbin\ \ Chen Qiu Dept. of Engrg. Mech.,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | With the aid of the stochastic averaging method,the theory of singular points of diffusion processes and the method of invariant measure, a Hopf bifurcation system in the presence of parametric real noises is studied. It is found that in this nonlinear stochastic system, due tothe presence of the parametric real noises, a change of the type of bifurcation takes place and two bifurcation points appear, which differ from the original Hopf bifurcation one. |
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| Keywords: | real noise parametric excitation stochastic averaging method diffusion process singular boundary invariant measure stochastic bifurcation |
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