ANALYTIC REDUCIBILITY OF RESONANT COCYCLES TO A NORMAL FORM
2014 ◽
Vol 15
(1)
◽
pp. 203-223
◽
Keyword(s):
We consider systems of quasi-periodic linear differential equations associated to a ‘resonant’ frequency vector ${\it\omega}$, namely, a vector whose coordinates are not linearly independent over $\mathbb{Z}$. 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.
1994 ◽
Vol 57
(2)
◽
pp. 138-148
◽
2020 ◽
Vol 100
◽
pp. 106040
◽
1969 ◽
Vol 21
◽
pp. 235-249
◽
2000 ◽
Vol 43
(1)
◽
pp. 1-13
◽
2014 ◽
Vol 17
(3)
◽
2009 ◽
Vol 07
(02)
◽
pp. 213-224
◽
2002 ◽
Vol 31
(6)
◽
pp. 545-548
2019 ◽
Vol 11
(1)
◽
pp. 14-25
◽
1974 ◽
pp. 239-251
◽