Two-dimensional heteroclinic connections in the generalized Lotka–Volterra system
From MaRDI portal
Publication:6044071
DOI10.1080/14689367.2022.2162371zbMath1525.37024OpenAlexW4319839618MaRDI QIDQ6044071
Publication date: 16 May 2023
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2022.2162371
Bifurcations of singular points in dynamical systems (37G10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey on stably dissipative Lotka-Volterra systems with an application to infinite dimensional Volterra equations
- Lotka-Volterra equation and replicator dynamics: A two-dimensional classification
- Permanence and the dynamics of biological systems
- On the differential equations of species in competition
- Dynamics of the attractor in the Lotka-Volterra equations
- Multiple limit cycles for three dimensional Lotka-Volterra equations
- Limit cycles for the competitive three dimensional Lotka-Volterra system
- Heteroclinic cycles in rings of coupled cells
- Generalized Hamiltonian dynamics and chaos in evolutionary games on networks
- Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems
- Evolutionary Games in Natural, Social, and Virtual Worlds
- Two-dimensional heteroclinic attractor in the generalized Lotka–Volterra system
- Stability and bifurcations of heteroclinic cycles of type Z
- On local attraction properties and a stability index for heteroclinic connections
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Nonlinear Aspects of Competition Between Three Species
- Asymptotic Behaviors in the Dynamics of Competing Species
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Evolutionary Games and Population Dynamics
- Asymptotic stability of heteroclinic cycles in systems with symmetry. II
- Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock
- Integrals of nonlinear equations of evolution and solitary waves
