Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2
From MaRDI portal
Publication:5292575
DOI10.1088/1751-8113/40/24/005zbMath1124.34016OpenAlexW2043840523MaRDI QIDQ5292575
Publication date: 21 June 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/40/24/005
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) Population dynamics (general) (92D25)
Related Items (20)
Periodic wave solution of the generalized Burgers-Fisher equation via abelian integral ⋮ Dynamics of some three-dimensional Lotka-Volterra systems ⋮ Explicit expression for a first integral for some classes of two-dimensional differential systems ⋮ Detection of special curves via the double resultant ⋮ Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the dynamics of a class of Kolmogorov systems ⋮ A model for the problem of the cooperation/competition between infinite continuous species ⋮ Unnamed Item ⋮ On the non-existence of periodic orbits for a class of two-dimensional Kolmogorov systems ⋮ The classification on the global phase portraits of two-dimensional Lotka-Volterra system ⋮ Phase portraits of separable Hamiltonian systems ⋮ Unnamed Item ⋮ Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two ⋮ The geometry of the real planar polynomial differential systems having their orbits embedded in conics ⋮ On the dynamics of a class of rational Kolmogorov systems ⋮ Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point ⋮ On the Dynamics of a Class of Kolmogorov Systems ⋮ A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle
This page was built for publication: Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2
