On the equivalence of the Melnikov functions method and the averaging method
type: Item
instance of: scholarly article
title: On the equivalence of the Melnikov functions method and the averaging method
zbMATH Open document ID: 1392.34052
author: Adriana Buică
published in: Qualitative Theory of Dynamical Systems
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6891773
zbMATH Keywords: perturbation of a period annulus
zbMATH Keywords: Melnikov functions
zbMATH Keywords: averaging method
zbMATH Keywords: polar-like coordinates
MaRDI profile type: Publication
full work available at URL: s12346-016-0216-x
OpenAlex ID: W2543855378
cites work: Averaging methods for finding periodic orbits via Brouwer degree.
cites work: Q5472808
cites work: Limit cycles of differential equations
cites work: Cyclicity of a family of vector fields
cites work: Averaging theory at any order for computing periodic orbits
cites work: Averaging methods of arbitrary order, periodic solutions and integrability
cites work: Equivalence of the Melnikov function method and the averaging method
cites work: Q5434578
DOI: 10.1007/S12346-016-0216-X
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description: scientific article; zbMATH DE number 6891773