ANALYTIC INTEGRABILITY OF NILPOTENT CUBIC SYSTEMS WITH DEGENERATE INFINITY

DOI10.1142/S0218127401003279zbMath1091.34516MaRDI QIDQ5474216

Jaume Giné

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Dynamics induced by flows and semiflows (37C10)

Related Items (3)

Center conditions for nilpotent cubic systems using the Cherkas method ⋮ Reversible nilpotent centers with cubic homogeneous nonlinearities ⋮ FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY

Cites Work

• Singularities of vector fields on the plane
• Singularities of vector fields
• Symétrie et forme normale des centres et foyers dégénérés

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