Bifurcation diagrams and moduli spaces of planar quadratic vector fields with invariant lines of total multiplicity four and having exactly three real singularities at infinity
DOI10.1007/s12346-010-0028-3zbMath1221.34081OpenAlexW2093867243MaRDI QIDQ611141
Publication date: 14 December 2010
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-010-0028-3
moduli spacebifurcation diagramgroup actionquadratic differential systemtopological equivalencealgebraic invariant curvephase portraitPoincaré compactificationaffine invariant polynomialconfiguration of invariant linesDarboux method
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines
- The full study of planar quadratic differential systems possessing a line of singularities at infinity
- Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity
- Total multiplicity of all finite critical points of the polynomial differential system
- Planar quadratic vector fields with invariant lines of total multiplicity at least five
- Planar quadratic differential systems with invariant straight lines of total multiplicity four
- Geometry of quadratic differential systems in the neighborhood of infinity
- A survey of quadratic systems
- THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER
This page was built for publication: Bifurcation diagrams and moduli spaces of planar quadratic vector fields with invariant lines of total multiplicity four and having exactly three real singularities at infinity
