On the Inclusion of a Map Into a Flow

2016, Volume 21, Number 5, pp. 538-547

Author(s): Saulin S. M., Treschev D. V.

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

Citation: Saulin S. M., Treschev D. V., On the Inclusion of a Map Into a Flow, Regular and Chaotic Dynamics, 2016, Volume 21, Number 5, pp. 538-547

DOI: 10.1134/S1560354716050051

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