SMF

Vanishing holonomy and monodromy of certain centres and foci

Vanishing holonomy and monodromy of certain centres and foci

M. BRUNELLA
Vanishing holonomy and monodromy of certain centres and foci
  • Année : 1994
  • Tome : 222
  • Format : Électronique
  • Langue de l'ouvrage :
    Anglais
  • Class. Math. : 32L30
  • Pages : 37-48
  • DOI : 10.24033/ast.255

In this paper we study a particular of germs of analytic differential equations on the real plane, which present a singularity of the type centre - focus. For these singularities it is defined a monodromy map, which is a germ of analytic diffeomorphism on the real line. A complexification of these germs allows to introduce (following R. Moussu and D. Cerveau) their vanishing holonomy. We study the relation existing between monodromy and vanishing holonomy ; corollaries about normal forms are obtained.

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