Cubic systems with four real line invariants

DOI10.1017/S0305004100073412zbMath0840.34019OpenAlexW2128764314MaRDI QIDQ4855312

Robert E. Kooij

Publication date: 9 July 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100073412

zbMATH Keywords

cubic polynomial systemnumber of limit cyclesgeneralized Liénard equationcubic system with four real line invariants

Mathematics Subject Classification ID

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

Related Items (9)

Unnamed Item ⋮ Unnamed Item ⋮ On structural stability of evolutionary stable strategies ⋮ Evolutionary stable strategies and cubic vector fields ⋮ Cubic differential systems with invariant straight lines of total multiplicity eight possessing one infinite singularity ⋮ Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities ⋮ Solution of the problem of the centre for a cubic differential system with three invariant straight lines ⋮ Unnamed Item ⋮ Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities

Cites Work

• Unnamed Item
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• A new class of quadratic systems
• Algebraic invariant curves and the integrability of polynomial systems
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Degenerate Hopf bifurcation in two dimensions

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