TY - JOUR
T1 - Reducible linear quasi-periodic systems with positive Lyapunov exponent and varying rotation number
AU - Broer, HW
AU - Simo, C
N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi
Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)
PY - 2000/11/20
Y1 - 2000/11/20
N2 - A linear system in two dimensions is studied. The coefficients are 2 pi -periodic in three angles, 0(j), = 1, 2, 3, and these angles are linear with respect to time, with incommensurable frequencies. The system has positive Lyapunov coefficients and the rotation number changes in a continuous way when some parameter moves. A lift to T-3 x R-2, however, is only of class L-p, for any p <2. (C) 2000 Academic Press.
AB - A linear system in two dimensions is studied. The coefficients are 2 pi -periodic in three angles, 0(j), = 1, 2, 3, and these angles are linear with respect to time, with incommensurable frequencies. The system has positive Lyapunov coefficients and the rotation number changes in a continuous way when some parameter moves. A lift to T-3 x R-2, however, is only of class L-p, for any p <2. (C) 2000 Academic Press.
M3 - Article
SN - 0022-0396
VL - 168
SP - 60
EP - 66
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 1
ER -