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有界随机噪声激励下软弹簧Duffing振子的安全盆分叉

戎海武 王向东 徐 伟 方 同

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有界随机噪声激励下软弹簧Duffing振子的安全盆分叉

戎海武, 王向东, 徐 伟, 方 同
cstr: 32037.14.aps.54.4610

Bifurcation of safe basins in softening Duffing oscillator under bounded noise excitation

Rong Hai-Wu, Wang Xiang-Dong, Xu Wei, Fang Tong
cstr: 32037.14.aps.54.4610
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  • 研究了软弹簧Duffing振子在有界随机噪声激励下,系统安全盆的侵蚀现象,并提出了随机安全盆分叉的概念. 计算表明,由于随机扰动的影响,系统的随机安全盆分叉点发生了偏移.
    The erosion of the safe basins of a softening Duffing oscillator under harmonic or bounded random noise is studied in detail using the Monte-Carlo method. As an alternative, stochastic bifurcation may be defined as a sudden change in the character of the stochastic safe basin when the bifurcation parameter of the system passes through a critical value. This definition applies equally well either to randomly perturbed motion, or to purely deterministic motion. It is found that random noise may destroy the integrity of safe basins and bring about stochastic bifurcation, hence make the system more unsafe.
    • 基金项目: 国家自然科学基金(批准号:10332030,10472091)和广东省自然科学基金(批准号:04011640)资助的课题.
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  • 文章访问数:  8875
  • PDF下载量:  818
  • 被引次数: 0
出版历程
  • 收稿日期:  2005-03-10
  • 修回日期:  2005-03-31
  • 刊出日期:  2005-05-05

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