Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations
type: Item
instance of: scholarly article
title: Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations
zbMATH Open document ID: 1200.34005
DOI: 10.1155/2010/938180
author: J. Martínez
published in: Advances in Difference Equations
publication date: 2010-06-25T00:00:00Z
full work available at URL: https://eudml.org/doc/232393
review text: The authors discuss the existence and stability of limit cycles in a class of fractional differential equations.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 5726186
zbMATH Keywords: fractional differential equation
zbMATH Keywords: limit cycle
Wikidata QID: Q59254388
MaRDI profile type: Publication
OpenAlex ID: W2047640890
cites work: Hilbert's sixteenth problem and global bifurcations of limit cycles.
cites work: A new criterion for controlling the number of limit cycles of some generalized Liénard equations
cites work: A unified proof of the weakened Hilbert 16th problem for \(n=2\)
cites work: On some open problems in planar differential systems and Hilbert's 16th problem
cites work: The problem of general center-focus and bifurcation of limit cycles for a planar system of nine degrees
cites work: Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
cites work: Q4305607
cites work: On the nonexistence, existence and uniqueness of limit cycles
cites work: Averaging analysis of a perturbated quadratic center
cites work: Q4548038
cites work: Q4670219
cites work: On the number of limit cycles for some perturbed Hamiltonian polynomial systems
cites work: On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree
cites work: The number of limit cycles of a quintic polynomial system
cites work: Q3542790
cites work: Q4309510
cites work: Q3715459
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Q4423172
description: scientific article; zbMATH DE number 5726186