Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system
type: Item
instance of: scholarly article
title: Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system
zbMATH Open document ID: 1504.34077
author: Yusen Wu
author: Jinling Yan
author: Cui Zhang
author: Feng Li
published in: Chaos, Solitons and Fractals
publication date: 2023-01-12T00:00:00Z
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 7641404
zbMATH Keywords: simultaneous integrability and non-linearizability
zbMATH Keywords: double weak saddles
zbMATH Keywords: sole weak focus
zbMATH Keywords: cubic Liénard system
MaRDI profile type: Publication
full work available at URL: j.chaos.2022.112197
OpenAlex ID: W4281381727
cites work: The integrability problem for a class of planar systems
cites work: Q5809392
cites work: An application of regular chain theory to the study of limit cycles
cites work: Q3871220
cites work: Q4053976
cites work: Q4123647
cites work: An algebraic approach to the classification of centers in polynomial Liénard systems
cites work: Analytic integrability of certain resonant saddle
cites work: Q4850473
cites work: On general algebraic mechanisms for producing centers in polynomial differential systems
cites work: New lower bound for the Hilbert number in piecewise quadratic differential systems
cites work: Coexisting Isochronous and Nonisochronous Centres
cites work: A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS
cites work: Blow-up method to compute necessary conditions of integrability for planar differential systems
cites work: Integrability of Liénard systems with a weak saddle
cites work: Liénard Equation and Its Generalizations
cites work: Lower bounds for the local cyclicity for families of centers
cites work: On the integrability of Liénard systems with a strong saddle
cites work: Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities
cites work: Integrability conditions of a resonant saddle in Liénard-like complex systems
cites work: Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems
cites work: 24 crossing limit cycles in only one nest for piecewise cubic systems
cites work: Q3785187
cites work: Q4514329
cites work: Lower bounds for the Hilbert number of polynomial systems
cites work: Bi-center problem and Hopf cyclicity of a cubic Liénard system
cites work: Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points
cites work: Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields
cites work: Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems
cites work: A cubic system with thirteen limit cycles
cites work: Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points
cites work: Centers and isochronous centers of a class of quasi-analytic switching systems
cites work: \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles
cites work: Q5496558
cites work: Q4138569
cites work: The Center and Cyclicity Problems
cites work: Q4757671
cites work: EXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEM
cites work: Symbolic computation of limit cycles associated with Hilbert's 16th problem
cites work: Twelve limit cycles around a singular point in a planar cubic-degree polynomial system
cites work: Integrability and generalized center problem of resonant singular point
cites work: The problem of center for resonant singular points of polynomial vector fields
cites work: Order of cyclicity of the singular point of lineard's polynomial vector fields
DOI: 10.1016/J.CHAOS.2022.112197
description: scientific article; zbMATH DE number 7641404