| 随机扰动的同宿分岔系统研究 |
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| 引用本文： | 刘先斌 陈大鹏. 随机扰动的同宿分岔系统研究[J]. 固体力学学报, 1998, 19(1): 26-32 |
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| 作者姓名： | 刘先斌 陈大鹏 |
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| 作者单位： | 西南交通大学应用力学与工程系!成都，610031(刘先斌，陈虬)，西南交通大学工程科学研究院!成都，610031(陈大鹏) |
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| 基金项目： | 国家自然科学基金!1960201 |
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| 摘 要： | 利用一维扩展过程的奇点理论并结合能量包络的随机平均法，考查“隐藏在余维２分岔点之后”的同宿分岔系统受参激白噪声影响的分岔行为。
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| 关 键 词： | 分岔 随机扰动 同宿分岔 随机平均 |
ON HOMOCLINIC BIFURCATION SYSTEM IN THE PRESENCE OF STOCHASTIC PERTURBATION |
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| Liu Xianbin, Chen Qiu. ON HOMOCLINIC BIFURCATION SYSTEM IN THE PRESENCE OF STOCHASTIC PERTURBATION[J]. Acta Mechnica Solida Sinica, 1998, 19(1): 26-32 |
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| Authors: | Liu Xianbin Chen Qiu |
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| Abstract: | By virtue of the singular point theory of one-dimension diffusion process and the stochastic averaging approach of energy envelope, the bifurcation behavior of a homoclinic bifurcation system, which is in the presence of parametric white noise and is concealed behind a cedimension two bifurcation point, is investigated. |
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| Keywords: | codimensio 2 bifurcation parametric white noise excitation diffusion process singular boundary homoclinic bifurcation stochastic averaging |
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