On the number of limit cycles of a quartic polynomial system
type: Item
instance of: scholarly article
title: On the number of limit cycles of a quartic polynomial system
zbMATH Open document ID: 1485.34101
author: Min Li
author: Maoan Han
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2022-01-03T00:00:00Z
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 7451814
zbMATH Keywords: quartic polynomial system
zbMATH Keywords: limit cycle
zbMATH Keywords: Melnikov function
MaRDI profile type: Publication
full work available at URL: dcdss.2020337
OpenAlex ID: W3016429498
cites work: Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory
cites work: Q3871220
cites work: Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters
cites work: Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis
cites work: Higher order averaging theory for finding periodic solutions via Brouwer degree
cites work: Q3868118
cites work: Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
cites work: FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS
cites work: Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\)
DOI: 10.3934/DCDSS.2020337
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description: scientific article; zbMATH DE number 7451814