Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line
DOI10.1016/J.CRMA.2018.12.008zbMath1410.34094OpenAlexW2913395572WikidataQ128470450 ScholiaQ128470450MaRDI QIDQ666726
Maurício Fronza da Silva, Jaume Llibre
Publication date: 12 March 2019
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2018.12.008
phase portraitsDarboux first integralinvariant parabolainvariant straight linequadratic polynomial differential
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)
Related Items (1)
Cites Work
- Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
- Quadratic Hamiltonian vector fields
- Quadratic systems with center and their perturbations
- Qualitative theory of planar differential systems
- Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles
- Algebraic Particular Integrals, Integrability and the Problem of the Center
- Phase Portraits of Planar Quadratic Systems
- Two Dimensional Homogeneous Quadratic Differential Systems
- Probleme General de la Stabilite du Mouvement. (AM-17)
- On the conditions of a center and general integrals of quadratic differential systems
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