This article is cited in 5 papers

On the Inclusion of Analytic Maps into Analytic Flows

Andrei V. Pronin, Dmitry V. Treschev

Department of Mathematics, Moscow State University, Moscow, Russia

Abstract: We prove a general theorem on the representation of an analytic map isotopic to the identity as the Poincare map in a nonautonomous periodic in time analytic system of ODE. If the map belongs to some Lie group of diffeomorphisms, the vector field determining the ODE can be taken from the corresponding Lie algebra of vector fields. The proof uses a specific averaging procedure.

Received: 10.06.1997

Language: English

DOI: 10.1070/RD1997v002n02ABEH000033

Bibliographic databases:

• 
•