Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts

DOI10.1016/j.jmaa.2016.12.042zbMath1360.34074OpenAlexW2564897982MaRDI QIDQ504906

Changjian Liu, Ji Hua Wang, Ji-Cai Huang

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.042

zbMATH Keywords

limit cycleAbelian integralquadratic reversible systemsemi-algebraic systemChebyshev criterionnilpotent singularities

Mathematics Subject Classification ID

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items

Abelian Integrals from an Unfolding of Codimension-3 Singularities with Nilpotent Linear Part ⋮ Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center ⋮ New family of abelian integrals satisfying Chebyshev property ⋮ Hopf cyclicity of a family of generic reversible quadratic systems with one center ⋮ A new Chebyshev criterion and its application to planar differential systems

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