scientific article; zbMATH DE number 6296699

zbMath1319.34067MaRDI QIDQ5416050

Rasool Kazemi, Hamid R. Z. Zangeneh

Publication date: 19 May 2014

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

limit cyclesMelnikov functionHilbert's 16th problemnilpotent saddlehetero-clinic loop

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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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