On the solution of the unforced damped Duffing oscillator with no linear stiffness term
type: Item
instance of: scholarly article
title: On the solution of the unforced damped Duffing oscillator with no linear stiffness term
zbMATH Open document ID: 1012.34033
DOI: 10.1023/A:1014925032022
author: D. E. Panayotoukanos
author: N. D. Panayotounakou
author: A. F. Vakakis
published in: Nonlinear Dynamics
publication date: 2002-08-20T00:00:00Z
review text: The authors prove that, for the damped unforced Duffing oscillator, there does not exist an exact analytic solution in terms of known tabulated analytic functions. At the end of this article, a new approximate analytic solution to the Duffing problem with weak damping is constructed.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 70K60
zbMATH DE Number: 1784455
zbMATH Keywords: nonlinear ordinary differential equations
zbMATH Keywords: asymptotic solutions
zbMATH Keywords: Duffing oscillator
reviewed by: Vladimir L. Makarov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1784455