Configurations of fans and nests of limit cycles for polynomial vector fields in the plane

DOI10.1016/0022-0396(89)90168-XzbMath0703.34040MaRDI QIDQ915931

Anna Cima, Jaume Llibre

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

limit cyclesfannestpolynomial vector field

Mathematics Subject Classification ID

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

Related Items

Configurations of limit cycles in Liénard equations ⋮ A generalization of the Poincaré compactification for weight-homogeneous polynomials with weight degree \((1, \ell)\) ⋮ The improved Euler-Jacobi formula and the planar polynomial vector fields of degree 2-4 ⋮ Counting configurations of limit cycles and centers ⋮ On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula ⋮ The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems ⋮ Some Applications of the Euler-Jacobi Formula to Differential Equations ⋮ HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS ⋮ Center configurations of Hamiltonian cubic systems ⋮ Some open problems in low dimensional dynamical systems ⋮ The improved Euler–Jacobi formula and the planar cubic polynomial vector fields in ℝ²

Cites Work

• A survey of quadratic systems
• Bounded Polynomial Vector Fields
• On General Properties of Quadratic Systems
• Generic Properties of Polynomial Vector Fields at Infinity
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