This article proposes a nonparametric system identification technique to discover the
governing equation of nonlinear dynamic systems with the focus on practical aspects. The …

Identifying dynamical system models from measurements is a central challenge in the
structural dynamics community. Nonlinear system identification, in particular, is a big …

Most works related to the identification of mathematical nonlinear systems suggest that such
approaches can always be directly applied to any nonlinear system. This misconception is …

This paper proposes a novel nonlinear dynamical system identification method based on the
sparse regression algorithm and the separable least squares method. To effectively avoid …

In recent years, the rapid growth of computing technology has enabled identifying
mathematical models for vibration systems using measurement data instead of domain …

In this paper, we consider a problem of parametric identification of a piece-wise linear
mechanical system described by ordinary differential equations. We reconstruct the phase …

Conventional Volterra series model is hardly applied to engineering practice due to its
parametric complexity and estimation difficulty. To solve this problem, nonlinear system …

Identifying a nonlinear dynamic systems' governing equation is crucial for many engineering
applications, and yet a challenging task. In this study, the system's dynamics are …

This paper proposes a new approach to the identification of reduced order models for
complex mechanical vibration systems. Parametric identification is commonly conducted by …

Real world mechanical systems present non-linear behavior and in many cases simple
linearization in modeling the system would not lead to satisfactory results. Coulomb …