Analytic integrability of cubic–linear planar polynomial differential systems
Copyright policy )Analytic integrability of cubic–linear planar polynomial differential systems
For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.
The first author is partially supported by the MINECO/FEDER grant number MTM2014- 53703-P and the AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204.
- University of Lleida Spain
- Instituto Superior de Espinho Portugal
analytic integrability, Cubic–linear planar polynomial differential systems, Explicit solutions, first integrals of ordinary differential equations, Dynamics induced by flows and semiflows, Analytic integrability, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, cubic-linear planar polynomial differential systems
analytic integrability, Cubic–linear planar polynomial differential systems, Explicit solutions, first integrals of ordinary differential equations, Dynamics induced by flows and semiflows, Analytic integrability, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, cubic-linear planar polynomial differential systems
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