Integrability of Lotka-Volterra type systems of degree 4
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Publication:663661
DOI10.1016/j.jmaa.2011.10.056zbMath1259.34007OpenAlexW2003964432MaRDI QIDQ663661
Guoting Chen, Changjian Liu, Guan-Rong Chen
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.056
Population dynamics (general) (92D25) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (11)
Integrability of fractional order generalized systems with \(p:-q\) resonance ⋮ On the formal integrability problem for planar differential systems ⋮ The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems ⋮ The center problem for a \({1:-4}\) resonant quadratic system ⋮ The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system ⋮ Analytical integrability of perturbations of quadratic systems ⋮ A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS ⋮ Analytic integrability around a nilpotent singularity ⋮ The integrability of a class of cubic Lotka-Volterra systems ⋮ Analytically integrable centers of perturbations of cubic homogeneous systems ⋮ Integrability and generalized center problem of resonant singular point
Cites Work
- Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio
- The problem of center for resonant singular points of polynomial vector fields
- Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
- Integrability and linearizability of the Lotka-Volterra systems.
- Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system
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