Homological Equation for Tensor Field and Periodic Averaging
Mathematical Physics
2013-02-18 v1 math.MP
Abstract
Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula 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.
Cite
@article{arxiv.1302.3635,
title = {Homological Equation for Tensor Field and Periodic Averaging},
author = {M. Avendaño Camacho and Yu. Vorobiev},
journal= {arXiv preprint arXiv:1302.3635},
year = {2013}
}