Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3
Copyright policy )Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3
All planar polynomial systems \[ \dot{\mathbf x}={\mathbf P}({\mathbf x}), \quad {\mathbf x}\in{\mathbb C}^2 \] of weight-homogeneous degree three are classified into six types. Among them, all systems having a polynomial first integral are selected.
- University of Orléans France
- UNIVERSITE D'ORLEANS France
- Autonomous University of Barcelona Spain
Weight-homogeneous polynomial differential systems, Applied Mathematics, Polynomial first integral, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, polynomial first integral, Analysis, weight-homogeneous polynomial system, Kowalevskaya exponents
Weight-homogeneous polynomial differential systems, Applied Mathematics, Polynomial first integral, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, polynomial first integral, Analysis, weight-homogeneous polynomial system, Kowalevskaya exponents
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