arXiv subjects
Publications and source records attributed to Ivan Gjaja.
In a comment on the paper of Habib and Ryne, chao-dyn/9406010 and Phys.Rev.Lett. vol.74, 70 (1995), I point out that the Iwasawa decomposition of the symplectic group can be used to write down closed-form expressions for the noncompact part of the group and thus to compute the Lyapunov exponents in systems with more than two degrees of freedom using the cited method.
The problem considered is the computation of an infinite product (composition) of Lie transformations generated by homogeneous polynomials of increasing order from a given convergent power series. Bounds are computed for the infinitesimal form of Lie transformations. The results obtained do not guarantee convergence of the product. Instead, the optimum truncation is determined by minimizing the terms of order n+1 that remain after the first n Lie transformations have been applied.