Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
type: Item
instance of: scholarly article
title: Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
zbMATH Open document ID: 0967.70019
DOI: 10.1023/A:1008316010341
author: B. Fiedler
author: Mohamed Belhaq
author: Faouzi Lakrad
published in: Nonlinear Dynamics
publication date: 2001-09-03T00:00:00Z
Mathematics Subject Classification ID: 70K60
Mathematics Subject Classification ID: 70K44
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 1546955
zbMATH Keywords: Melnikov function
zbMATH Keywords: criterion for homoclinic bifurcation
zbMATH Keywords: homoclinic orbits
zbMATH Keywords: strongly nonlinear self-excited one-degree-of-freedom oscillator
zbMATH Keywords: Lindstedt-Poincaré perturbation method
zbMATH Keywords: Jacobian elliptic functions
zbMATH Keywords: limit cycles
zbMATH Keywords: bifurcating limit cycle
MaRDI profile type: Publication
full work available at URL: a:1008316010341
OpenAlex ID: W84041004
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description: scientific article; zbMATH DE number 1546955