On the dynamics of a class of Kolmogorov systems

DOI10.17377/SEMI.2016.13.058zbMath1370.34053MaRDI QIDQ5920078

Rachid Boukoucha

Publication date: 6 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

periodic orbitslimit cyclefirst integralKolmogorov system

Mathematics Subject Classification ID

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 (2)

Explicit expression for a first integral for some classes of two-dimensional differential systems ⋮ On the non-existence of periodic orbits for a class of two-dimensional Kolmogorov systems

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