Linear estimate of the number of zeros of abelian integrals for a kind of quintic Hamiltonians
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Publication:1758743
zbMath1264.34063MaRDI QIDQ1758743
Publication date: 16 November 2012
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
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 (3)
Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle ⋮ The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points ⋮ The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop
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