Liouvillian first integrals of quadratic–linear polynomial differential systems
Copyright policy )Liouvillian first integrals of quadratic–linear polynomial differential systems
For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them.
- Autonomous University of Barcelona Spain
- Instituto Superior de Espinho Portugal
quadratic systems, Applied Mathematics, Quadratic systems, quadratic vector fields, Liouvillian integrability, invariant algebraic curves, Invariant algebraic curves, Explicit solutions, first integrals of ordinary differential equations, Darboux polynomials, Invariant manifolds for ordinary differential equations, Analysis, Quadratic vector fields
quadratic systems, Applied Mathematics, Quadratic systems, quadratic vector fields, Liouvillian integrability, invariant algebraic curves, Invariant algebraic curves, Explicit solutions, first integrals of ordinary differential equations, Darboux polynomials, Invariant manifolds for ordinary differential equations, Analysis, Quadratic vector fields
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