Integrability of Lotka–Volterra Planar Complex Cubic Systems
From MaRDI portal
Publication:2800685
DOI10.1142/S0218127416500024zbMath1334.34002MaRDI QIDQ2800685
Publication date: 18 April 2016
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (6)
Nondegenerate centers and limit cycles of cubic Kolmogorov systems ⋮ Bi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systems ⋮ Integrability Conditions for Complex Homogeneous Kukles Systems ⋮ Complete classification on center of cubic planar systems symmetric with respect to a straight line ⋮ A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS ⋮ Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems
Cites Work
- On the formal integrability problem for planar differential systems
- An approach to solving systems of polynomials via modular arithmetics with applications
- Integrability of complex planar systems with homogeneous nonlinearities
- Linearizability conditions of time-reversible cubic systems
- Über das Auftreten von Wirbeln und Strudeln (geschlossener und spiraliger Integralkurven) in der Umgebung rationaler Unbestimmtheitsstellen
- Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
- Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system
- Linearizability conditions for a cubic system
- On some open problems in planar differential systems and Hilbert's 16th problem
- On orbital-reversibility for a class of planar dynamical systems
- INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
- LIMIT CYCLES AND CENTERS IN A CUBIC PLANAR SYSTEM
- The Center and Cyclicity Problems
- The centre and isochronicity problems for some cubic systems
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Linearizability conditions for Lotka–Volterra planar complex cubic systems
This page was built for publication: Integrability of Lotka–Volterra Planar Complex Cubic Systems