ANALYTIC REDUCIBILITY OF RESONANT COCYCLES TO A NORMAL FORM

作者:Chavaudret Claire*; Stolovitch Laurent
来源:Journal of the Institute of Mathematics of Jussieu, 2016, 15(1): 203-223.
DOI:10.1017/S1474748014000383

摘要

We consider systems of quasi-periodic linear differential equations associated to a 'resonant' frequency vector omega, namely, a vector whose coordinates are not linearly independent over Z. We give sufficient conditions that ensure that a small analytic perturbation of a constant system is analytically conjugate to a 'resonant cocycle'. We also apply our results to the non-resonant case: we obtain sufficient conditions for reducibility.

  • 出版日期2016-1