Bifurcation Analysis in the Stochastic Lumped Parameter System
Bifurcation Analysis in the Stochastic Lumped Parameter System
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DOI：
10.5687/sss.2014.272
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发表时间：
2014-05
期刊：
影响因子：
--
通讯作者：
M. Ishikawa
中科院分区：
文献类型：
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作者：
M. Ishikawa
研究了一类随机集总参数系统的分岔问题。P-分岔（现象学分岔）和D-分岔（动力学分岔）是研究随机分岔的主要方法。P-分支研究对应于单点运动的平稳测度，而D-分支方法基于不变测度的稳定性。由于P-分支是基于一点运动的，因此在分支图中有可能遗漏某些分支。因此，我们用D分支方法研究了随机集总参数系统的分支。
This paper is concerned with a bifurcation analysis of a stochastic lumped parameter system. The P-bifurcation (Phenomenological bifurcation) and the D-bifurcation (Dynamical bifurcation) are major analytical methods for the stochastic bifurcation. The P-bifurcation studies a stationary measure corresponding to the one-point motion, while the D-bifurcation approach is based on the stability of invariant measures. Since the P-bifurcation is based on the one pointmotion, there is a possibility to miss certain branches in bifurcation diagrams. So, we study the bifurcation in the stochastic lumped parameter system by the Dbifurcation approach.