Invariant algebraic curves linear in one variable for planar real quadratic systems.

DOI10.1016/S0096-3003(02)00117-0zbMath1042.34058OpenAlexW1990493052MaRDI QIDQ1406140

Maite Grau, Javier Chavarriga

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00117-0

zbMATH Keywords

invariant algebraic curverational curvequadratic polynomial differential systems

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)

Related Items (5)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Integrability of planar polynomial differential systems through linear differential equations ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ Polynomial inverse integrating factors for quadratic differential systems ⋮ Dynamical analysis of a two prey-one predator system with quadratic self interaction

Cites Work

• Equations de Pfaff algébriques
• The Poincaré problem in the nondicritical case
• A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals
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