A Class of Planar Quadratic Vector Fields with a Limit Cycle Surrounded by a Saddle Loop

DOI10.2307/2045470zbMath0521.58046OpenAlexW4233500963MaRDI QIDQ3670240

Rodrigo Bamón

Publication date: 1983

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045470

zbMATH Keywords

quadratic systemseparatrix cyclePoincare compactificationplanar Hamiltonian quadratic vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (3)

Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle ⋮ Perturbations of quadratic Hamiltonian systems with symmetry ⋮ Asymptotics and stability of the delayed Duffing equation

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