Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle

Details Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle

2007-09-29

arxiv.org/abs/0710.0062v1

Mathematics

Classical Analysis and ODEs

To appear in Proceedings of the 9th Conference on Dynamical Systems Theory and Applications (Lodz, 2007)

Scientific paper

In this paper we propose an approach to evaluate the domain of attraction of
asymptotically stable periodic solutions obtained via averaging principle
(second Bogolubov's theorem or Mel'nikov's method). We discuss also how this
result is extended in the case when the right hand part is nonsmooth.

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