Planar quadratic differential systems with invariants of the form \(ax^2+bxy+cy^2+dx+ey+c_1t\)
From MaRDI portal
Publication:6642555
DOI10.1007/s41980-024-00888-7MaRDI QIDQ6642555
Publication date: 24 November 2024
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
singular pointinvariantPoincaré compactificationchordal quadratic systemplanar quadratic differential systemHamiltonian first integral
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34)
Cites Work
- Unnamed Item
- Polynomial first integrals of quadratic vector fields
- Chordal quadratic systems
- Elements of applied bifurcation theory.
- Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps
- Darboux invariants for planar polynomial differential systems having an invariant conic
- Qualitative theory of planar differential systems
- Phase portraits of quadratic Lotka–Volterra systems with a Darboux invariant in the Poincaré disc
- Phase Portraits of Planar Quadratic Systems
- Quadratic systems with an invariant conic having Darboux invariants
- A SURVEY ON THE BLOW UP TECHNIQUE
- Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants
- Geometric Configurations of Singularities of Planar Polynomial Differential Systems
- Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant
- A new classification of planar homogeneous quadratic systems
This page was built for publication: Planar quadratic differential systems with invariants of the form \(ax^2+bxy+cy^2+dx+ey+c_1t\)