scientific article; zbMATH DE number 7083279

zbMath1418.37102MaRDI QIDQ5225107

Fabio Scalco Dias, Claudia Valls, Jaume Llibre

Publication date: 19 July 2019

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2019/82/abstr.html#latest

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

zbMATH Keywords

phase portraitnilpotent centerpolynomial Hamiltonian systemsPoincaré compactification

Mathematics Subject Classification ID

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)

Related Items (1)

Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3

Cites Work

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• Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
• Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
• The center problem for a linear center perturbed by homogeneous polynomials
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
• Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
• Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
• Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
• Qualitative theory of planar differential systems
• Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z₂-symmetries

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