A cubic system with an invariant triangle surrounding at least one limit cycle.

DOI10.11650/twjm/1500575064zbMath1051.34025OpenAlexW4256204396MaRDI QIDQ1432841

Zhen-Hai Liu, Eduardo Sáez, Ivan Szanto

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.11650/twjm/1500575064

zbMATH Keywords

cubic systemlimit cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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 (4)

A cubic system with a limit cycle bounded by two invariant parabolas ⋮ Limit cycles and invariant curves in a class of switching systems with degree four ⋮ A simple method for constructing non-liouvillian first integrals of autonomous planar systems ⋮ Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four

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