Cyclicity of some analytic maps

DOI10.1016/j.amc.2016.09.026zbMath1411.37051OpenAlexW2534099533MaRDI QIDQ1734735

Xianqiang Yang

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.09.026

zbMATH Keywords

limit cyclesdiscrete dynamical systemsperiodic pointscyclicitypolynomial maps

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Applications of difference equations (39A60)

Related Items (2)

The center and cyclicity problems for some analytic maps ⋮ Analysis of Degenerate Chenciner Bifurcation

Uses Software

• SINGULAR
• primdec

Cites Work

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• The Center and Cyclicity Problems
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Critical period bifurcations of a cubic system
• SINGULAR

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