A Volterra series approach to the approximation of stochastic nonlinear dynamics
type: Item
instance of: scholarly article
title: A Volterra series approach to the approximation of stochastic nonlinear dynamics
zbMATH Open document ID: 1018.70009
DOI: 10.1023/A:1015275512605
published in: Nonlinear Dynamics
publication date: 2002-08-20T00:00:00Z
review text: The method of statistical bilinearization, a nonlinear technique employing truncated Volterra series, is presented for approximating the solution of a nonlinear stochastically excited dynamic system. It is then applied to a piecewise linear system where it yields results much better than those found using the statistical linearization technique.
Mathematics Subject Classification ID: 70L05
zbMATH DE Number: 1784453
zbMATH Keywords: statistical bilinearization
zbMATH Keywords: truncated Volterra series
zbMATH Keywords: nonlinear stochastically excited dynamic system
zbMATH Keywords: piecewise linear system
author: N. van de Wouw
author: H. Nijmeijer
author: Dick H. van Campen
reviewed by: Melvin D. Lax
MaRDI profile type: Publication
full work available at URL: a:1015275512605
OpenAlex ID: W2157770296
description: scientific article; zbMATH DE number 1784453