Regular and Chaotic Dynamics

, Volume 21, Issue 5, pp 538–547 | Cite as

On the inclusion of a map into a flow

Article

Abstract

We consider the problem of the inclusion of a diffeomorphism into a flow generated by an autonomous or time periodic vector field. We discuss various aspects of the problem, present a series of results (both known and new ones) and point out some unsolved problems.

Keywords

Poincaré map, averaging, time periodic vector field 

MSC2010 numbers

37C10 37C55 

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Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  1. 1.Steklov Mathematical Institute, Russian Academy of SciencesMoscowRussia
  2. 2.Lomonosov Moscow State UniversityVorob’evy gory, MoscowRussia

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