On the dynamics of a class of rational Kolmogorov systems
DOI10.1080/14029251.2016.1135629zbMath1420.34053OpenAlexW2227935301MaRDI QIDQ5231011
Ahmed Bendjeddou, Rachid Boukoucha
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2016.1135629
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Periodic orbits of vector fields and flows (37C27)
Related Items (6)
Cites Work
- Explicit non-algebraic limit cycles for polynomial systems
- Existence of limit cycles for real quadratic differential systems with an invariant cubic
- Hamiltonian structure and first integrals for the Lotka-Volterra systems
- Limit cycles of a cubic Kolmogorov system
- Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems
- Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
- Qualitative theory of planar differential systems
- Limit cycles in a Kolmogorov-type model
- NON-ALGEBRAIC LIMIT CYCLES FOR PARAMETRIZED PLANAR POLYNOMIAL SYSTEMS
- EXPLICIT NON-ALGEBRAIC LIMIT CYCLES OF A CLASS OF POLYNOMIAL SYSTEMS
- The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system
- Phase portraits of cubic polynomial vector fields of Lotka–Volterra type having a rational first integral of degree 2
- On the dynamics of a class of Kolmogorov systems
- Unnamed Item
This page was built for publication: On the dynamics of a class of rational Kolmogorov systems
