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实噪声参激一类余维2分叉系统的最大Lyapunov指数(Ⅰ)

刘先斌 陈大鹏 陈虬

刘先斌, 陈大鹏, 陈虬. 实噪声参激一类余维2分叉系统的最大Lyapunov指数(Ⅰ)[J]. 应用数学和力学, 1999, 20(9): 902-912.
引用本文: 刘先斌, 陈大鹏, 陈虬. 实噪声参激一类余维2分叉系统的最大Lyapunov指数(Ⅰ)[J]. 应用数学和力学, 1999, 20(9): 902-912.
Liu Xianbin, Chen Dapeng, Chen Qiu. On the Maximal Lyapunov Exponent for a Real Noise Parametrically Excited Co-Dimension Two Bifurcation System(Ⅰ)[J]. Applied Mathematics and Mechanics, 1999, 20(9): 902-912.
Citation: Liu Xianbin, Chen Dapeng, Chen Qiu. On the Maximal Lyapunov Exponent for a Real Noise Parametrically Excited Co-Dimension Two Bifurcation System(Ⅰ)[J]. Applied Mathematics and Mechanics, 1999, 20(9): 902-912.

实噪声参激一类余维2分叉系统的最大Lyapunov指数(Ⅰ)

基金项目: 国家自然科学基金资助项目(19602016)
详细信息
    作者简介:

    刘先斌(1965~ ),男,博士,副教授,已发表论文30余篇.

  • 中图分类号: O211.63

On the Maximal Lyapunov Exponent for a Real Noise Parametrically Excited Co-Dimension Two Bifurcation System(Ⅰ)

  • 摘要: 对于三维中心流形上实噪声参激的一类余维2分叉系统,为使模型更具有一般性,取系统的参激实噪声为一线性滤波系统的输出-零均值的平稳高斯扩散过程,并满足细致平衡条件.并在此基础上首次使用Arnold的渐近方法以及Fokker-Planck算子的特征谱展式,求解不变测度以及最大的Lyapunov指数的emax的渐近展式.
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  • 被引次数: 0
出版历程
  • 收稿日期:  1998-05-29
  • 修回日期:  1999-04-15
  • 刊出日期:  1999-09-15

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