Investigation of the oscillations of essentially nonlinear systems with internal resonance
type: Item
instance of: scholarly article
title: Investigation of the oscillations of essentially nonlinear systems with internal resonance
zbMATH Open document ID: 0664.70035
DOI: 10.1016/0021-8928(87)90082-7
author: V. G. Veretennikov
author: I. A. Korolev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: Oscillations in systems which do not become linear when the small parameter becomes equal to zero are studied. It is assumed that the generating system contains odd-order resonances. Conditionally periodic solutions of the generating and complete systems are constructed with an accuracy of up to first order in the small parameter. The results obtained represent a further development of the theory of bifurcation of the growth of a cycle from a position of equilibrium.
Mathematics Subject Classification ID: 70K30
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 70J99
zbMATH DE Number: 4087122
zbMATH Keywords: nonlinear quasi-autonomous system
zbMATH Keywords: Oscillations
zbMATH Keywords: Conditionally periodic solutions
zbMATH Keywords: theory of bifurcation
zbMATH Keywords: equilibrium
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90082-7
OpenAlex ID: W2042758307
cites work: Q3314165
cites work: On the investigation of oscillations of quasilinear systems with almost- periodic coefficients
description: scientific article; zbMATH DE number 4087122