Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\)

DOI10.1016/j.na.2012.04.043zbMath1253.34036OpenAlexW2033982406MaRDI QIDQ450584

Joan C. Artés, Jaume Llibre, Nicolae Vulpe

Publication date: 13 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.043

zbMATH Keywords

quadratic vector fieldstype of singularityweak saddle

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) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (5)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Reversible polynomial Hamiltonian systems of degree 3 with nilpotent saddles ⋮ Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields ⋮ From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields ⋮ Liouvillian first integrals for quadratic systems with an integrable saddle

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