Existence of limit cycles for real quadratic differential systems with an invariant cubic

DOI10.2140/pjm.2006.223.201zbMath1116.34025OpenAlexW2131516066MaRDI QIDQ868747

Javier Chavarriga, Isaac A. García

Publication date: 26 February 2007

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2006.223.201

zbMATH Keywords

limit cycleinvariant algebraic curvequadratic system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (5)

Number of limit cycles for planar systems with invariant algebraic curves ⋮ On the non-existence of periodic orbits for a class of two-dimensional Kolmogorov systems ⋮ Unnamed Item ⋮ On the dynamics of a class of rational Kolmogorov systems ⋮ On the Dynamics of a Class of Kolmogorov Systems

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