Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations

DOI10.1155/2010/938180zbMath1200.34005OpenAlexW2047640890WikidataQ59254388 ScholiaQ59254388MaRDI QIDQ978554

J. Martínez

Publication date: 25 June 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232393

zbMATH Keywords

limit cyclefractional differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A unified proof of the weakened Hilbert 16th problem for \(n=2\)
• On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree
• The number of limit cycles of a quintic polynomial system
• A new criterion for controlling the number of limit cycles of some generalized Liénard equations
• Hilbert's sixteenth problem and global bifurcations of limit cycles.
• Finite difference approximations for fractional advection-dispersion flow equations
• The problem of general center-focus and bifurcation of limit cycles for a planar system of nine degrees
• On some open problems in planar differential systems and Hilbert's 16th problem
• Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
• On the nonexistence, existence and uniqueness of limit cycles
• Averaging analysis of a perturbated quadratic center

This page was built for publication: Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations