Abstract
Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula [4] is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.
Original language | English |
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Pages (from-to) | 243-257 |
Number of pages | 15 |
Journal | Russian Journal of Mathematical Physics |
Volume | 18 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2011 |
Bibliographical note
Funding Information:We thank M. V. Karasev for helpful discussions. This research was partially supported by CONA-CYT under grant no. 55463.