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关联噪声驱动非对称双稳系统的MFTP
  • 期刊名称：应用力学学报, 2008年 02期 320-323
  • 时间：0
  • 分类：O414.22[理学—理论物理;理学—物理]
  • 作者机构：[1]西北工业大学,西安710072
  • 相关基金：国家自然科学基金（10472091;10332030;10502042）;西北工业大学研究生创业种子基金（Z200655）
  • 相关项目：非线性随机复动力学系统的分岔与混沌控制研究
关键词： 关联噪声, 平均首次穿越时间, 非对称双稳系统, 最速下降法
中文摘要：

考虑了由关联噪声驱动的非对称双稳系统的平均首次穿越时间（MFPT）问题，运用最速下降法求得平均首次穿越时间的表达式，并讨论了各个参数（包括P，q，r，λ）对两个方向的平均首次穿越时间的影响。结果表明：1）噪声关联时间λ对平均首次穿越时间T＋（x1→x2，λ，r）和T_（x2→x1，λ，r）的影响是不同的，T＋随着λ的增加而增加，而T_却随着λ的增加而减小。2）平均首次穿越时间T＋（x1→x2，λ，r）和T_（x2→x1，λ，r）都随加性噪声强度q的增加而减小；但乘性噪声P对T＋和T_影响却是完全不同的，T_随着P的增加而减小，而T＋随着P的增加曲线有一个极大值，即是一个共振峰。3）在不同的噪声关联强度的影响下，T＋／T_的曲线随着P的增加呈现不同的发展趋势，λ=0．1时，T＋／T_随着P的增加单调减小；而λ=0．7时，T＋／T_随着P的增加先增加再减小，曲线出现了极值峰。

同期刊论文项目
非线性随机动力学与控制的哈密顿理论体系及其应用
期刊论文 259 会议论文 23
典型非线性系统随机混沌及其控制的研究
期刊论文 61
非线性随机复动力学系统的分岔与混沌控制研究
期刊论文 73 获奖 2
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