Oblique repulsion in the nonnegative quadrant

Dominique Lépingle (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We consider an electrostatic attractive-repulsive differential system in the nonnegative quadrant. Under some condition on the constants there exists a unique global solution. The main difficulty is to prove uniqueness when starting at the corner of the quadrant.

Mots clés: electrostatic repulsion; singular starting points; scaling property

Domaines: Systèmes dynamiques [math.DS]

Dominique Lépingle. Oblique repulsion in the nonnegative quadrant. 2014. ⟨hal-00937563⟩