Bifurcation Analysis in the Stochastic Lumped Parameter System

• Ishikawa Masaaki

  Graduate School of Science and Engineering, Yamaguchi University

抄録

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 point-motion, there is a possibility to miss certain branches in bifurcation diagrams. So, we study the bifurcation in the stochastic lumped parameter system by the D-bifurcation approach.

収録刊行物

• Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2014 (0), 272-277, 2014-05-05

  システム制御情報学会ストカスティックシステムシンポジウム

キーワード

• Materials Science (miscellaneous)

詳細情報

• CRID: 1390282763012117760
• NII論文ID: 130007377495
• DOI: 10.5687/sss.2014.272
• ISSN: 21884749
• ISSN: 21884730
• Web Site: https://www.jstage.jst.go.jp/article/sss/2014/0/2014_272/_pdf
• 本文言語コード: en
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