Integrability and linearizability for Lotka-Volterra systems with the \(3 : -q\) resonant saddle point

DOI10.1186/1687-1847-2014-23zbMath1351.34033OpenAlexW2129887951WikidataQ59324401 ScholiaQ59324401MaRDI QIDQ738356

Wen-tao Huang, Qin-long Wang

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-23

zbMATH Keywords

integrabilitylinearizabilityLotka-Volterra systemgeneralized center

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) Population dynamics (general) (92D25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Analytic integrability of certain resonant saddle ⋮ On integrability and linearizability of persistent \(p:- q\) resonant systems ⋮ Integrability and generalized center problem of resonant singular point

Uses Software

• Maple
• Mathematica

Cites Work

• Unnamed Item
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• Theory of values of singular point in complex autonomous differential systems
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• The problem of center for resonant singular points of polynomial vector fields
• A new method to determine isochronous center conditions for polynomial differential systems.
• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• Integrability and linearizability of the Lotka-Volterra systems.
• Linearization of isochronous centers
• Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system
• \(1: - 3\) resonant centers on \(\mathbb{C}^2\) with homogeneous cubic nonlinearities
• Linear recursion formulas of generalized focus quantities and applications
• Linearizability of the polynomial differential systems with a resonant singular point
• On the center problem for \(p:-q\) resonant polynomial vector fields
• Isochronous Centers in Planar Polynomial Systems

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