The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems
Copyright policy )The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems
The Euler-Jacobi formula provides an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar quadratic-quartic polynomial differential systems when these systems have eight finite singular points.
- Autonomous University of Barcelona Spain
- University of Lisbon Portugal
- University of Barcelona Spain
- Instituto Superior de Espinho Portugal
Applications of operator theory to differential and integral equations, Polynomial differential systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, topological index, Singular points, singular points, Euler-Jacobi formula, polynomial differential systems, Topological index
Applications of operator theory to differential and integral equations, Polynomial differential systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, topological index, Singular points, singular points, Euler-Jacobi formula, polynomial differential systems, Topological index
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