Hopf cyclicity of a family of generic reversible quadratic systems with one center

DOI10.1007/s10114-019-8312-xzbMath1433.34047OpenAlexW2968817320WikidataQ127365363 ScholiaQ127365363MaRDI QIDQ2336105

Ji Hua Wang

Publication date: 18 November 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8312-x

zbMATH Keywords

limit cycleHopf bifurcationweak focusquadratic perturbationquadratic reversible system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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)

Cites Work

• Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts
• Melnikov functions in quadratic perturbations of generalized Lotka-Volterra systems
• Bifurcation of limit cycles from quadratic isochrones
• The cyclicity of period annuli of some classes of reversible quadratic systems
• Non-existence of limit cycle around a weak focus of order three for any quadratic system
• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Quadratic systems with center and their perturbations
• Perturbations of quadratic centers
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Hopf-Takens bifurcations and centres
• Essential perturbations of polynomial vector fields with a period annulus
• On the number of limit cycles in quadratic perturbations of quadratic codimension-four centres
• On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation
• Centennial History of Hilbert's 16th Problem
• Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center
• THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER
• Abelian integrals and limit cycles
• The infinitesimal 16th Hilbert problem in the quadratic case
• The Hopf cyclicity of Lienard systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hopf cyclicity of a family of generic reversible quadratic systems with one center