On the reducibility of a class of almost periodic Hamiltonian systems
On the reducibility of a class of almost periodic Hamiltonian systems
<p style='text-indent:20px;'>In this paper we consider the following linear almost periodic hamiltonian system <p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \dot{x} = (A+\varepsilon Q(t, \varepsilon))x, \; x\in R^{2}, $\end{document} </tex-math></disp-formula> <p style='text-indent:20px;'>where <inline-formula><tex-math id="M1">\begin{document}$ A $\end{document}</tex-math></inline-formula> is a constant matrix with different eigenvalues, and <inline-formula><tex-math id="M2">\begin{document}$ Q(t, \varepsilon) $\end{document}</tex-math></inline-formula> is analytic …