- The Institute of Electronics, Information and Communication Engineers
- Nonlinear Theory and Its Applications, IEICE (ISSN:21854106)
- vol.9, no.2, pp.166-184, 2018 (Released:2018-04-01)
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.