Linear type global centers of linear systems with cubic homogeneous nonlinearities

DOI10.1007/s12215-019-00433-0zbMath1479.34059OpenAlexW2967579245MaRDI QIDQ2657333

Claudia Valls, Jaume Llibre, Johanna D. García-Saldaña

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221314

zbMATH Keywords

centerglobal centercubic polynomial differential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

Global centers of the generalized polynomial Liénard differential systems ⋮ Polynomial Liénard systems with a nilpotent global center ⋮ Kukles systems of degree three with global centers ⋮ Reversible global centres with quintic homogeneous nonlinearities ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Limit cycles of differential equations
• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
• Nondegenerate centers and limit cycles of cubic Kolmogorov systems
• Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
• Qualitative theory of planar differential systems
• Algorithmic Derivation of Centre Conditions

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