Hilbert's 16-th problem for quadratic vector fields and cyclicity of graphics

DOI10.1016/S0362-546X(97)00175-2zbMath0895.34025OpenAlexW2002994865MaRDI QIDQ4378476

Christiane Rousseau

Publication date: 8 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00175-2

zbMATH Keywords

quadratic vector fieldpolycyclecyclicitynumber of limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items

Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center, LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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