Differential systems with algebraic and non-algebraic limit cycles explicitly given

DOI10.31392/MFAT-NPU26_2.2022.03OpenAlexW4390883351MaRDI QIDQ5886795

Rachid Boukoucha

Publication date: 6 April 2023

Full work available at URL: https://doi.org/10.31392/mfat-npu26_2.2022.03

zbMATH Keywords

limit cycledynamical systeminvariant algebraic curvefirst integralHilbert 16th problem

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)

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