The center problem for a \({1:-4}\) resonant quadratic system
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Publication:401099
DOI10.1016/j.jmaa.2014.06.060zbMath1301.34043OpenAlexW2029418273MaRDI QIDQ401099
Matej Mencinger, Jaume Giné, Brigita Ferčec, Regilene D. S. Oliveira
Publication date: 26 August 2014
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.2014.06.060
quadratic systemsaddle pointcenter varietymodular arithmeticresonant centerdecomposition of affine varieties
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)
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On integrability and linearizability of persistent \(p:- q\) resonant systems ⋮ A hybrid symbolic-numerical approach to the center-focus problem ⋮ The complexity of generalized center problem ⋮ Integrability and generalized center problem of resonant singular point
Uses Software
Cites Work
- The solution of the \(1:-3\) resonant center problem in the quadratic case
- The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems
- The center problem on a center manifold in \(\mathbb{R}^{3}\)
- First integrals of local analytic differential systems
- An approach to solving systems of polynomials via modular arithmetics with applications
- Integrability of Lotka-Volterra type systems of degree 4
- Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio
- Limit cycles of differential equations
- The center problem for a \(2:-3\) resonant cubic Lotka-Volterra system
- Integrability conditions for Lotka-Volterra planar complex quintic systems
- Gröbner bases and primary decomposition of polynomial ideals
- The problem of center for resonant singular points of polynomial vector fields
- Modular algorithms for computing Gröbner bases.
- Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
- Integrability and linearizability of the Lotka-Volterra systems.
- Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
- Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system
- On the number of algebraically independent Poincaré-Liapunov constants
- On the center problem for \(p:-q\) resonant polynomial vector fields
- The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System
- The Center and Cyclicity Problems
- P-adic reconstruction of rational numbers
- SINGULAR
- Linearizability conditions for Lotka–Volterra planar complex cubic systems
- FGb: A Library for Computing Gröbner Bases
- Probleme General de la Stabilite du Mouvement. (AM-17)
- Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\)
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