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.
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Avendaño Camacho, M., Vorobiev, Y.M. Homological equations for tensor fields and periodic averaging. Russ. J. Math. Phys. 18, 243–257 (2011). https://doi.org/10.1134/S1061920811030010
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DOI: https://doi.org/10.1134/S1061920811030010