Nonlinear perturbation of the Mathieu equation
type: Item
instance of: scholarly article
title: Nonlinear perturbation of the Mathieu equation
zbMATH Open document ID: 0934.34019
author: Z. Afsharnejad
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2000-01-20T00:00:00Z
review text: The author reviews the Melnikov method and discusses its applicability to some equations such as \[ \ddot{x}+\omega^2 x+\mu x\cos t+\epsilon \omega^2 (a_0 x-x^2)+\epsilon \mu \dot{x} =0. \] The bifurcation from closed orbits to subharmonic solutions is also discussed.
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 1343239
zbMATH Keywords: Melnikov
zbMATH Keywords: splitting
zbMATH Keywords: subharmonic
zbMATH Keywords: bifurcation
zbMATH Keywords: closed orbits
zbMATH Keywords: solutions
reviewed by: Rafael Ortega
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1343239