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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Journal of Differential Equations
( Vol. 168 NO.1 / (2000))
Reducible Linear Quasi-periodic Systems with Positive Lyapunov Exponent and Varying Rotation Number
H. W. Broer, C. Simo,
Pages. 60-66
Abstract A linear system in two dimensions is studied. The coefficients are $2pi$-periodic in
three angles, $ heta_j, 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 $Bbb T^3 imes Bbb R^2$, however, is only of class $L^p$, for any $p<2$.
Contents 1. Preliminaries
2. Laplace construction of $C$
3. Study of the singularities of the example
Key words
Mathmatical Subject Classification