Analytic integrability inside a family of degenerate centers

DOI10.1016/j.nonrwa.2016.02.003zbMath1354.34005OpenAlexW2297036028MaRDI QIDQ282025

Jaume Giné, Cristóbal García, Isabel Checa, Antonio Algaba

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/58412

zbMATH Keywords

degenerate center problemintegrability problemnonlinear differential systems

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) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

Oscillations on one dimensional time dependent center manifolds: algebraic curves approach ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ Analytical integrability of perturbations of quadratic systems ⋮ Analytic integrability around a nilpotent singularity ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems

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