Some properties of planar polynomial systems of even degree

DOI10.1007/BF01759643zbMath0757.34023MaRDI QIDQ1199810

Marcello Galeotti, Massimo Villarini

Publication date: 16 January 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

singular pointsglobal centersplanar polynomial systemunbounded trajectory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (8)

Strong isochronicity of the Liénard system ⋮ Global centers of the generalized polynomial Liénard differential systems ⋮ Polynomial Liénard systems with a nilpotent global center ⋮ Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center ⋮ Kukles systems of degree three with global centers ⋮ Reversible global centres with quintic homogeneous nonlinearities ⋮ Perturbation from an asymmetric cubic Hamiltonian ⋮ Polynomial differential systems with even degree have no global centers

Cites Work

• On a class of cubic systems with two centers
• Centers of quadratic systems
• Generic Properties of Polynomial Vector Fields at Infinity
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