The cyclicity of the period annulus of a reversible quadratic system

DOI10.1017/prm.2021.2OpenAlexW3128437949MaRDI QIDQ5070594

Chengzhi Li, Jaume Llibre, Changjian Liu

Publication date: 13 April 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://ddd.uab.cat/record/239785

zbMATH Keywords

limit cycleabelian integralperturbation of quadratic reversible centre

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (2)

Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral ⋮ A proof of a Dumortier-Roussarie's conjecture

Cites Work

• Limit cycles of differential equations
• Birth of canard cycles
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• Perturbations of quadratic centers
• Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals
• Qualitative theory of planar differential systems
• Unnamed Item

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