On the global structure of normal forms for slow-fast Hamiltonian systems

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Abstract

In the framework of Lie transforms and the global method of averaging, the normal forms of a multidimensional slow-fast Hamiltonian system are studied in the case when the flow of the unperturbed (fast) system is periodic and the induced S1-action is not necessarily free and trivial. An intrinsic splitting of the second term in a S1-invariant normal form of first order is derived in terms of the Hannay-Berry connection assigned to the periodic flow. © 2013 Pleiades Publishing, Ltd.
Original languageAmerican English
Pages (from-to)138-148
Number of pages11
JournalRussian Journal of Mathematical Physics
DOIs
StatePublished - 1 Apr 2013

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