First integrals of a three-dimensional system in the case of one zero eigenvalue

DOI10.1088/1751-8113/43/31/315205zbMath1206.34005OpenAlexW2008203774MaRDI QIDQ3583826

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Publication date: 18 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/31/315205

zbMATH Keywords

first integralpolynomial ideal

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

Related Items (5)

Integrability of 3-dim polynomial systems with three invariant planes ⋮ Integrability and linearizability of three dimensional vector fields ⋮ Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2 ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems ⋮ Local integrability and linearizability of three-dimensional Lotka-Volterra systems

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