scientific article; zbMATH DE number 7027656

zbMath1438.34119MaRDI QIDQ4625402

Pegah Moghimi, Rasool Kazemi, Rasoul Asheghi

Publication date: 22 February 2019

Full work available at URL: http://cmde.tabrizu.ac.ir/article_7715.html

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zbMATH Keywords

abelian integralECT-systemChebyshev propertynon-algebraic Hamiltonian

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

Related Items (4)

The monotonicity of the ratio of two hyperelliptic abelian integrals for a class of symmetric potential systems of degree eight ⋮ A LINEAR ESTIMATION TO THE NUMBER OF ZEROS FOR ABELIAN INTEGRALS IN A KIND OF QUADRATIC REVERSIBLE CENTERS OF GENUS ONE ⋮ New family of abelian integrals satisfying Chebyshev property ⋮ On the number of limit cycles bifurcated from some non-polynomial Hamiltonian systems

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