Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)

DOI10.1016/0022-0396(87)90185-9zbMath0625.34024OpenAlexW2039194554MaRDI QIDQ579493

Jaume Llibre, Armengol Gasull, Jorge Sotomayor

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90185-9

zbMATH Keywords

limit cyclesrest point

Mathematics Subject Classification ID

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

Related Items

On the limit cycles of polynomial differential systems with homogeneous nonlinearities ⋮ On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities ⋮ Limit cycles of polynomial systems with homogeneous non-linearities ⋮ On the number of limit cycles of some systems on the cylinder ⋮ HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS ⋮ On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems

Cites Work

• Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\)
• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
• Limit-cycles and rotated vector fields
• Unnamed Item
• Unnamed Item
• Unnamed Item