A computational method for robust bifurcation analysis and its application to biomolecular systems

Masaki Inoue, Hikaru Ikuta, Shuichi Adachi, Jun Ichi Imura, Kazuyuki Aihara

研究成果: Article査読

抄録

We consider a general uncertain nonlinear dynamical system defined in a certain model set, and reformulate a problem of robustness bifurcation analysis (RBA), which has been originally formulated in our previous work. As such, we develop an efficient computational method for the RBA, which can be used for quantitative evaluation of bifurcation robustness in uncertain dynamical systems. Specifically, we first linearize the uncertain system properly and then apply a feedback transformation technique to reduce the RBA problem to a linear robustness analysis one, which can be solved using μ-analysis, a common analysis technique in robust control theory. Finally, we provide robustness analysis of a gene regulatory network model where oscillatory behavior appears according to Hopf bifurcation. We give quantitative evaluation of the bifurcation robustness using the RBA method proposed here.

本文言語English
論文番号1540012
ジャーナルInternational Journal of Bifurcation and Chaos
25
7
DOI
出版ステータスPublished - 2015 6月 30

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 工学(その他)
  • 一般
  • 応用数学

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