著者
Makito Oku Kazuyuki Aihara
出版者
The Institute of Electronics, Information and Communication Engineers
雑誌
Nonlinear Theory and Its Applications, IEICE (ISSN:21854106)
巻号頁・発行日
vol.9, no.2, pp.166-184, 2018 (Released:2018-04-01)
参考文献数
49
被引用文献数
3

In this paper, we analyze the relation between the stability of a noisy dynamical system based on linear approximation and the covariance matrix of its stationary distribution. We reformulate the theory of dynamical network biomarkers in terms of the covariance matrix and clarify the limiting behavior of the covariance matrix when a dynamical system approaches a bifurcation point. We also discuss the relation between the Jacobian matrix and principal component analysis. An application to a simple nonlinear network model is also demonstrated.

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#NowReading J-STAGE Articles - On the covariance matrix of the stationary distribution of a noisy dynamical system https://t.co/RqdLAFgFwx
5年ぶりに書いた論文が出版されました。前回が2012年1月頃 (出版は2013年) で、これを書いたのが2017年の5~6月頃。https://t.co/P9itKIJZaA

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