On classification of a 4D competitive LV system

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Monotone systems involving ordinary differential equations (34C12) Monotone flows as dynamical systems (37C65)

Cites Work

A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So
Multiple limit cycles for three dimensional Lotka-Volterra equations
Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection
Dynamics of the periodic type-\(K\) competitive Kolmogorov systems
Global dynamics of 3D competitive Lotka-Volterra equations with the identical intrinsic growth rate
A concrete example with multiple limit cycles for three dimensional Lotka-Volterra systems
On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines
On the first Lyapunov coefficient formula of 3D Lotka-Volterra equations with applications to multiplicity of limit cycles
On Lotka--Volterra Equations with Identical Minimal Intrinsic Growth Rate
Chaos in low-dimensional Lotka–Volterra models of competition
Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
Systems of differential equations which are competitive or cooperative: III. Competing species
Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family
Nonlinear Aspects of Competition Between Three Species
On the Dynamics of Lotka--Volterra Equations Having an Invariant Hyperplane
Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
On the Asymmetric May--Leonard Model of Three Competing Species
On existence and uniqueness of a carrying simplex in Kolmogorov differential systems

This page was built for publication: On classification of a 4D competitive LV system