Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
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Publication:552282
DOI10.1016/j.camwa.2010.12.069zbMath1217.34058OpenAlexW1986378144MaRDI QIDQ552282
Jaume Giné, Zhibek Kadyrsizova, Valery G. Romanovski, Yi-rong Liu
Publication date: 21 July 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.069
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) Normal forms for dynamical systems (37G05)
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Cites Work
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- Darboux linearization and isochronous centers with a rational first integral
- Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio
- Bifurcation of limit cycles from quadratic isochrones
- Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities
- Gröbner bases and primary decomposition of polynomial ideals
- Local theory of nonlinear analytic ordinary differential equations
- Theory of values of singular point in complex autonomous differential systems
- Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
- On the integrability of two-dimensional flows
- A new method to determine isochronous center conditions for polynomial differential systems.
- Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
- A cubic Kolmogorov system with six limit cycles
- Linearization of isochronous centers
- Limit cycles of a cubic Kolmogorov system
- Linearizability conditions for a cubic system
- Stability of motion
- The Center and Cyclicity Problems
- P-adic reconstruction of rational numbers
- The centre and isochronicity problems for some cubic systems
- Isochronous Foci for Analytic Differential Systems
- Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
- From an iteration formula to Poincaré’s Isochronous Center Theorem for holomorphic vector fields
- Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries
- Characterization of isochronous foci for planar analytic differential systems
- Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials
- Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\)
