Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle
type: Item
instance of: scholarly article
title: Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle
zbMATH Open document ID: 1474.34238
DOI: 10.1155/2014/819798
author: Huanhuan Tian
author: Maoan Han
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle. We also obtain formulas for the first coefficients appearing in the expansions and then establish a bifurcation theorem on the number of limit cycles. As an application example, we give a lower bound of the maximal number of limit cycles for a polynomial system of Liénard type.
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 7023141
Wikidata QID: Q59041789
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/819798
OpenAlex ID: W2074697426
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description: scientific article; zbMATH DE number 7023141