scientific article; zbMATH DE number 2212016

zbMath1088.37006MaRDI QIDQ5694796

Vincent Naudot, Koen Neirynck

Publication date: 5 October 2005

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

zbMATH Keywords

Hamiltonian vector fieldnormal formMelnikov functiondisplacement functionplanar vector fieldsPoincaré return mapdegenerate centersingularity of center type

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

The return map for a planar vector field with nilpotent linear part: a direct and explicit derivation

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