Analytically integrable centers of perturbations of cubic homogeneous systems
DOI10.1007/s12346-021-00479-5zbMath1472.34055OpenAlexW3158322965MaRDI QIDQ2037343
Antonio Algaba, Manuel Reyes, Cristóbal García
Publication date: 30 June 2021
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00479-5
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
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Cites Work
- Unnamed Item
- Analytic integrability inside a family of degenerate centers
- The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems
- Integrability of two dimensional quasi-homogeneous polynomial differential systems
- Integrability of Lotka-Volterra type systems of degree 4
- Integrability conditions for Lotka-Volterra planar complex quintic systems
- Like-linearizations of vector fields
- Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
- Integrability and linearizability of the Lotka-Volterra systems.
- Invariant curves and analytic integrability of a planar vector field
- Analytic integrability around a nilpotent singularity
- Analytical integrability problem for perturbations of cubic Kolmogorov systems
- Analytical integrability of perturbations of quadratic systems
- Blow-up method to compute necessary conditions of integrability for planar differential systems
- Analytic integrability around a nilpotent singularity: the non-generic case
- Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system
- Two-dimensional homogeneous cubic systems: classification and normal forms. I
- The integrability problem for a class of planar systems
- Holonomie et intégrales premières
- A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS
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