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The centre conditions for a certain cubic system

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Publication:1387146
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zbMath0899.34021MaRDI QIDQ1387146

V. G. Romanovskii, Henryk Żołądek, Leonid Cherkas

Publication date: 15 November 1998

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

cubic systemsplanar vector fieldscentreLyapunov focus numbers


Mathematics Subject Classification ID

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


Related Items (6)

From an iteration formula to Poincaré’s Isochronous Center Theorem for holomorphic vector fields ⋮ Center conditions and cyclicity for a family of cubic systems: computer algebra approach ⋮ Weak center problem and bifurcation of critical periods for a \(Z_4\)-equivariant cubic system ⋮ Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position ⋮ Weak Bi-Center and Critical Period Bifurcations of a Z2-Equivariant Quintic System ⋮ Fixed point indices and invariant periodic sets of holomorphic systems




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