Solution to Briot and Bouquet problem on singularities of differential equations - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2018

Solution to Briot and Bouquet problem on singularities of differential equations

Abstract

We solve Briot and Bouquet problem (1856) on the existence of non-monodromic (multivalued) solutions for singularities of differential equations in the complex domain. The solution is an application of hedgehog dynamics for indifferent irrational fixed points. We present an important simplification by only using a local hedgehog for which we give a simpler and direct construction of quasi-invariant curves which does not rely on complex renormalization.
Fichier principal
Vignette du fichier
briotbouquet.pdf (393.15 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01707628 , version 1 (12-02-2018)
hal-01707628 , version 2 (16-02-2018)
hal-01707628 , version 3 (06-03-2018)

Identifiers

  • HAL Id : hal-01707628 , version 1

Cite

Ricardo Pérez-Marco. Solution to Briot and Bouquet problem on singularities of differential equations. 2018. ⟨hal-01707628v1⟩
182 View
183 Download

Share

Gmail Facebook X LinkedIn More