Complete integrability of vector fields in \(\mathbb{R}^N\)

DOI10.1016/j.geomphys.2021.104308zbMath1476.34006OpenAlexW3175642918MaRDI QIDQ2049420

Valentín Ramírez, Jaume Llibre, Rafael O. Ramírez

Publication date: 25 August 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104308

zbMATH Keywords

first integralNambu bracketJacobi multiplierJacobi theoremcompletely integrable ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

Integrability of a class of \(N\)-dimensional Lotka-Volterra and Kolmogorov systems ⋮ Invariant circles and phase portraits of cubic vector fields on the sphere

Cites Work

• Inverse problems in ordinary differential equations and applications
• Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier
• A normal form of completely integrable systems
• Inverse approach in ordinary differential equations: applications to Lagrangian and Hamiltonian mechanics
• Integrability and global dynamics of the May-Leonard model
• On an \(n\)-Lie algebra of Jacobians
• Local integrability and linearizability of three-dimensional Lotka-Volterra systems
• On the Asymmetric May--Leonard Model of Three Competing Species
• Darboux integrability for 3D Lotka-Volterra systems
• Generalized Hamiltonian Dynamics
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