Local integrability and linearizability for three dimensional Lotka-Volterra cubic systems

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

Unnamed Item
Unnamed Item
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 for a \({1:-4}\) resonant quadratic system
First integrals of local analytic differential systems
Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
Integrability and linearizability for Lotka-Volterra systems with the \(3 : -q\) resonant saddle point
Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points
Complete integrability and time-reversibility of some 3-dim systems
Integrability conditions for Lotka-Volterra planar complex quintic systems
The problem of center for resonant singular points of polynomial vector fields
Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points
Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance
Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2
Local integrability and linearizability of three-dimensional Lotka-Volterra systems
\(1: - 3\) resonant centers on \(\mathbb{C}^2\) with homogeneous cubic nonlinearities
Local integrability of a family of three-dimensional quadratic systems
On the center problem for \(p:-q\) resonant polynomial vector fields
Integrability of Lotka–Volterra Planar Complex Cubic Systems
The Center and Cyclicity Problems
Linearizability conditions for Lotka–Volterra planar complex cubic systems
Integrability and linearizability of symmetric three-dimensional quadratic systems
Linearizabiliy and Lax representations for cubic autonomous and non-autonomous nonlinear oscillators
Multiple stable states for a class of predator-prey systems with two harvesting rates
Integrability and bifurcation of limit cycles for a class of quasi-homogeneous systems

This page was built for publication: Local integrability and linearizability for three dimensional Lotka-Volterra cubic systems